87013868299272 has 64 divisors (see below), whose sum is σ = 241732846857600. Its totient is φ = 29001303910080.

The previous prime is 87013868299247. The next prime is 87013868299279. The reversal of 87013868299272 is 27299286831078.

87013868299272 is a `hidden beast` number, since 8 + 7 + 0 + 1 + 3 + 8 + 68 + 299 + 272 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 87013868299272.

It is not an unprimeable number, because it can be changed into a prime (87013868299279) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21155188 + ... + 24931299.

It is an arithmetic number, because the mean of its divisors is an integer number (3777075732150).

Almost surely, 2^{87013868299272} is an apocalyptic number.

It is an amenable number.

87013868299272 is an abundant number, since it is smaller than the sum of its proper divisors (154718978558328).

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

87013868299272 is a wasteful number, since it uses less digits than its factorization.

87013868299272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46095243 (or 46095233 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 87013868299272 in words is "eighty-seven trillion, thirteen billion, eight hundred sixty-eight million, two hundred ninety-nine thousand, two hundred seventy-two".