87755398272 has 128 divisors (see below), whose sum is σ = 259138915200. Its totient is φ = 29236147200.

The previous prime is 87755398261. The next prime is 87755398303. The reversal of 87755398272 is 27289355778.

87755398272 is a `hidden beast` number, since 8 + 7 + 7 + 553 + 9 + 8 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7725397 + ... + 7736747.

It is an arithmetic number, because the mean of its divisors is an integer number (2024522775).

Almost surely, 2^87755398272 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 87755398272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129569457600).

87755398272 is an abundant number, since it is smaller than the sum of its proper divisors (171383516928).

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

87755398272 is a wasteful number, since it uses less digits than its factorization.

87755398272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13611 (or 13593 counting only the distinct ones).

The product of its digits is 59270400, while the sum is 63.

The spelling of 87755398272 in words is "eighty-seven billion, seven hundred fifty-five million, three hundred ninety-eight thousand, two hundred seventy-two".