87706733625 has 576 divisors, whose sum is σ = 213662292480. Its totient is φ = 33675264000.

The previous prime is 87706733617. The next prime is 87706733629. The reversal of 87706733625 is 52633760778.

87706733625 is a `hidden beast` number, since 8 + 7 + 7 + 0 + 6 + 7 + 3 + 3 + 625 = 666.

It is not a de Polignac number, because 87706733625 - 2³ = 87706733617 is a prime.

It is a super-2 number, since 2×87706733625² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87706733629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2139188605 + ... + 2139188645.

It is an arithmetic number, because the mean of its divisors is an integer number (370941480).

Almost surely, 2^87706733625 is an apocalyptic number.

87706733625 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

87706733625 is an abundant number, since it is smaller than the sum of its proper divisors (125955558855).

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

87706733625 is a wasteful number, since it uses less digits than its factorization.

87706733625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 87706733625 in words is "eighty-seven billion, seven hundred six million, seven hundred thirty-three thousand, six hundred twenty-five".