87856540805124 has 243 divisors, whose sum is σ = 279757314888597. Its totient is φ = 23169606078528.

The previous prime is 87856540805087. The next prime is 87856540805141. The reversal of 87856540805124 is 42150804565878.

The square root of 87856540805124 is 9373182.

It is a perfect power (a square), and thus also a powerful number.

87856540805124 is a `hidden beast` number, since 8 + 7 + 8 + 5 + 6 + 540 + 80 + 5 + 1 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12996529704900 + 74860011100224 = 3605070^2 + 8652168^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5117748789 + ... + 5117765955.

Almost surely, 2^{87856540805124} is an apocalyptic number.

87856540805124 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

87856540805124 is the 9373182-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87856540805124

87856540805124 is an abundant number, since it is smaller than the sum of its proper divisors (191900774083473).

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

87856540805124 is a wasteful number, since it uses less digits than its factorization.

87856540805124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34384 (or 17192 counting only the distinct ones).

The product of its (nonzero) digits is 86016000, while the sum is 63.

The spelling of 87856540805124 in words is "eighty-seven trillion, eight hundred fifty-six billion, five hundred forty million, eight hundred five thousand, one hundred twenty-four".