87668488015380 has 72 divisors (see below), whose sum is σ = 265930243297992. Its totient is φ = 23378044014336.

The previous prime is 87668488015307. The next prime is 87668488015393. The reversal of 87668488015380 is 8351088486678.

87668488015380 is a `hidden beast` number, since 8 + 7 + 6 + 6 + 8 + 4 + 8 + 80 + 1 + 538 + 0 = 666.

87668488015380 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 157477223556 + 87511010791824 = 396834^2 + 9354732^2 .

It is a super-2 number, since 2×87668488015380² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 87668488015299 and 87668488015308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17412502 + ... + 21875378.

It is an arithmetic number, because the mean of its divisors is an integer number (3693475601361).

Almost surely, 2^{87668488015380} is an apocalyptic number.

It is an amenable number.

87668488015380 is an abundant number, since it is smaller than the sum of its proper divisors (178261755282612).

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

87668488015380 is a wasteful number, since it uses less digits than its factorization.

87668488015380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4572025 (or 4572020 counting only the distinct ones).

The product of its (nonzero) digits is 495452160, while the sum is 72.

The spelling of 87668488015380 in words is "eighty-seven trillion, six hundred sixty-eight billion, four hundred eighty-eight million, fifteen thousand, three hundred eighty".