87779252736 has 480 divisors, whose sum is σ = 302655450240. Its totient is φ = 23961305088.

The previous prime is 87779252683. The next prime is 87779252783. The reversal of 87779252736 is 63725297778.

87779252736 is a `hidden beast` number, since 8 + 7 + 7 + 79 + 2 + 527 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100089930 + ... + 100090806.

It is an arithmetic number, because the mean of its divisors is an integer number (630532188).

Almost surely, 2^87779252736 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 87779252736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151327725120).

87779252736 is an abundant number, since it is smaller than the sum of its proper divisors (214876197504).

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

87779252736 is a wasteful number, since it uses less digits than its factorization.

87779252736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1025 counting only the distinct ones).

The product of its digits is 62233920, while the sum is 63.

The spelling of 87779252736 in words is "eighty-seven billion, seven hundred seventy-nine million, two hundred fifty-two thousand, seven hundred thirty-six".