23199907725540 has 1152 divisors, whose sum is σ = 90477223409664. Its totient is φ = 4682022912000.

The previous prime is 23199907725521. The next prime is 23199907725541. The reversal of 23199907725540 is 4552770999132.

23199907725540 is a `hidden beast` number, since 2 + 3 + 1 + 9 + 9 + 9 + 0 + 7 + 72 + 554 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (23199907725541) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 9202659480 + ... + 9202662000.

It is an arithmetic number, because the mean of its divisors is an integer number (78539256432).

Almost surely, 2^{23199907725540} is an apocalyptic number.

23199907725540 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 23199907725540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45238611704832).

23199907725540 is an abundant number, since it is smaller than the sum of its proper divisors (67277315684124).

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

23199907725540 is a wasteful number, since it uses less digits than its factorization.

23199907725540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2861 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 63.

The spelling of 23199907725540 in words is "twenty-three trillion, one hundred ninety-nine billion, nine hundred seven million, seven hundred twenty-five thousand, five hundred forty".