87166515051 has 48 divisors (see below), whose sum is σ = 160625836800. Its totient is φ = 44228237760.

The previous prime is 87166514993. The next prime is 87166515067. The reversal of 87166515051 is 15051566178.

It is a happy number.

87166515051 is a `hidden beast` number, since 8 + 71 + 66 + 515 + 0 + 5 + 1 = 666.

It is not a de Polignac number, because 87166515051 - 2⁷ = 87166514923 is a prime.

It is a super-2 number, since 2×87166515051² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 87166514988 and 87166515006.

It is not an unprimeable number, because it can be changed into a prime (87166015051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1432776 + ... + 1492373.

It is an arithmetic number, because the mean of its divisors is an integer number (3346371600).

Almost surely, 2^87166515051 is an apocalyptic number.

87166515051 is a deficient number, since it is larger than the sum of its proper divisors (73459321749).

87166515051 is a wasteful number, since it uses less digits than its factorization.

87166515051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2925216 (or 2925213 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 45.

The spelling of 87166515051 in words is "eighty-seven billion, one hundred sixty-six million, five hundred fifteen thousand, fifty-one".