23209080582240 has 1728 divisors, whose sum is σ = 100877765264640. Its totient is φ = 5010496081920.

The previous prime is 23209080582229. The next prime is 23209080582251. The reversal of 23209080582240 is 4228508090232.

23209080582240 is a `hidden beast` number, since 2 + 3 + 20 + 9 + 0 + 8 + 0 + 582 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (23209080582229) and next prime (23209080582251).

It is a super-2 number, since 2×23209080582240² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15239054119 + ... + 15239055641.

It is an arithmetic number, because the mean of its divisors is an integer number (58378336380).

Almost surely, 2^{23209080582240} is an apocalyptic number.

23209080582240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23209080582240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50438882632320).

23209080582240 is an abundant number, since it is smaller than the sum of its proper divisors (77668684682400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23209080582240 is a wasteful number, since it uses less digits than its factorization.

23209080582240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 23209080582240 in words is "twenty-three trillion, two hundred nine billion, eighty million, five hundred eighty-two thousand, two hundred forty".