23830380070560 has 1536 divisors, whose sum is σ = 100348880486400. Its totient is φ = 5167618560000.

The previous prime is 23830380070543. The next prime is 23830380070561. The reversal of 23830380070560 is 6507008303832.

23830380070560 is a `hidden beast` number, since 2 + 3 + 8 + 3 + 0 + 3 + 80 + 0 + 7 + 0 + 560 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (23830380070561) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11182720695 + ... + 11182722825.

It is an arithmetic number, because the mean of its divisors is an integer number (65331302400).

Almost surely, 2^{23830380070560} is an apocalyptic number.

23830380070560 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 23830380070560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50174440243200).

23830380070560 is an abundant number, since it is smaller than the sum of its proper divisors (76518500415840).

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

23830380070560 is a wasteful number, since it uses less digits than its factorization.

23830380070560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 23830380070560 in words is "twenty-three trillion, eight hundred thirty billion, three hundred eighty million, seventy thousand, five hundred sixty".