87554615201625 has 512 divisors, whose sum is σ = 180545863680000. Its totient is φ = 37096690176000.

The previous prime is 87554615201623. The next prime is 87554615201653. The reversal of 87554615201625 is 52610251645578.

It is not a de Polignac number, because 87554615201625 - 2¹ = 87554615201623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (87554615201623) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 18305373984 + ... + 18305378766.

It is an arithmetic number, because the mean of its divisors is an integer number (352628640000).

Almost surely, 2^{87554615201625} is an apocalyptic number.

It is an amenable number.

87554615201625 is an abundant number, since it is smaller than the sum of its proper divisors (92991248478375).

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

87554615201625 is a wasteful number, since it uses less digits than its factorization.

87554615201625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5082 (or 5072 counting only the distinct ones).

The product of its (nonzero) digits is 20160000, while the sum is 57.

The spelling of 87554615201625 in words is "eighty-seven trillion, five hundred fifty-four billion, six hundred fifteen million, two hundred one thousand, six hundred twenty-five".