23158580400 has 480 divisors, whose sum is σ = 87148707840. Its totient is φ = 5901984000.

The previous prime is 23158580387. The next prime is 23158580443. The reversal of 23158580400 is 408585132.

It is a happy number.

23158580400 is a `hidden beast` number, since 2 + 31 + 5 + 8 + 580 + 40 + 0 = 666.

It is a super-2 number, since 2×23158580400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 20119825 + ... + 20120975.

It is an arithmetic number, because the mean of its divisors is an integer number (181559808).

Almost surely, 2^23158580400 is an apocalyptic number.

23158580400 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 23158580400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43574353920).

23158580400 is an abundant number, since it is smaller than the sum of its proper divisors (63990127440).

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

23158580400 is a wasteful number, since it uses less digits than its factorization.

23158580400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 23158580400 in words is "twenty-three billion, one hundred fifty-eight million, five hundred eighty thousand, four hundred".