87724256256 has 1056 divisors, whose sum is σ = 345780550080. Its totient is φ = 21700804608.

The previous prime is 87724256233. The next prime is 87724256267. The reversal of 87724256256 is 65265242778.

87724256256 is a `hidden beast` number, since 8 + 7 + 7 + 2 + 4 + 2 + 5 + 625 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 299400046 + ... + 299400338.

Almost surely, 2^87724256256 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 87724256256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172890275040).

87724256256 is an abundant number, since it is smaller than the sum of its proper divisors (258056293824).

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

87724256256 is a wasteful number, since it uses less digits than its factorization.

87724256256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 335 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The spelling of 87724256256 in words is "eighty-seven billion, seven hundred twenty-four million, two hundred fifty-six thousand, two hundred fifty-six".