24992132256 has 768 divisors, whose sum is σ = 94595558400. Its totient is φ = 6242697216.

The previous prime is 24992132213. The next prime is 24992132267. The reversal of 24992132256 is 65223129942.

24992132256 is a `hidden beast` number, since 2 + 499 + 2 + 132 + 25 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 221169256 + ... + 221169368.

It is an arithmetic number, because the mean of its divisors is an integer number (123171300).

Almost surely, 2^24992132256 is an apocalyptic number.

24992132256 is a gapful number since it is divisible by the number (26) 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 24992132256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47297779200).

24992132256 is an abundant number, since it is smaller than the sum of its proper divisors (69603426144).

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

24992132256 is a wasteful number, since it uses less digits than its factorization.

24992132256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 264 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 24992132256 in words is "twenty-four billion, nine hundred ninety-two million, one hundred thirty-two thousand, two hundred fifty-six".