87016007752128 has 168 divisors, whose sum is σ = 306973138643808. Its totient is φ = 22949276755968.

The previous prime is 87016007752123. The next prime is 87016007752139. The reversal of 87016007752128 is 82125770061078.

87016007752128 is a `hidden beast` number, since 8 + 7 + 0 + 1 + 600 + 7 + 7 + 5 + 2 + 1 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87016007752123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 829999551 + ... + 830104382.

It is an arithmetic number, because the mean of its divisors is an integer number (1827221063356).

Almost surely, 2^{87016007752128} is an apocalyptic number.

It is an amenable number.

87016007752128 is an abundant number, since it is smaller than the sum of its proper divisors (219957130891680).

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

87016007752128 is a wasteful number, since it uses less digits than its factorization.

87016007752128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660103971 (or 1660103958 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 54.

The spelling of 87016007752128 in words is "eighty-seven trillion, sixteen billion, seven million, seven hundred fifty-two thousand, one hundred twenty-eight".