23185029504 has 512 divisors, whose sum is σ = 79456204800. Its totient is φ = 5825691648.

The previous prime is 23185029463. The next prime is 23185029523. The reversal of 23185029504 is 40592058132.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138832429 + ... + 138832595.

It is an arithmetic number, because the mean of its divisors is an integer number (155187900).

Almost surely, 2^23185029504 is an apocalyptic number.

23185029504 is a gapful number since it is divisible by the number (24) 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 23185029504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39728102400).

23185029504 is an abundant number, since it is smaller than the sum of its proper divisors (56271175296).

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

23185029504 is a wasteful number, since it uses less digits than its factorization.

23185029504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 23185029504 in words is "twenty-three billion, one hundred eighty-five million, twenty-nine thousand, five hundred four".