23729456256 has 512 divisors, whose sum is σ = 76142592000. Its totient is φ = 6466437120.

The previous prime is 23729456243. The next prime is 23729456279. The reversal of 23729456256 is 65265492732.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 23729456199 and 23729456208.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 266623060 + ... + 266623148.

It is an arithmetic number, because the mean of its divisors is an integer number (148716000).

Almost surely, 2^23729456256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23729456256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38071296000).

23729456256 is an abundant number, since it is smaller than the sum of its proper divisors (52413135744).

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

23729456256 is a wasteful number, since it uses less digits than its factorization.

23729456256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 248 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 51.

The spelling of 23729456256 in words is "twenty-three billion, seven hundred twenty-nine million, four hundred fifty-six thousand, two hundred fifty-six".