23540513904 has 240 divisors, whose sum is σ = 74640178080. Its totient is φ = 6881034240.

The previous prime is 23540513891. The next prime is 23540513977. The reversal of 23540513904 is 40931504532.

23540513904 is a `hidden beast` number, since 2 + 3 + 54 + 0 + 513 + 90 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2833084 + ... + 2841380.

It is an arithmetic number, because the mean of its divisors is an integer number (311000742).

Almost surely, 2^23540513904 is an apocalyptic number.

23540513904 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 23540513904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37320089040).

23540513904 is an abundant number, since it is smaller than the sum of its proper divisors (51099664176).

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

23540513904 is a wasteful number, since it uses less digits than its factorization.

23540513904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8408 (or 8399 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 23540513904 in words is "twenty-three billion, five hundred forty million, five hundred thirteen thousand, nine hundred four".