87649974595584 has 104 divisors (see below), whose sum is σ = 259671926655920. Its totient is φ = 29216658161664.

The previous prime is 87649974595583. The next prime is 87649974595621. The reversal of 87649974595584 is 48559547994678.

87649974595584 is a `hidden beast` number, since 8 + 7 + 6 + 4 + 9 + 9 + 7 + 4 + 595 + 5 + 8 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 87649974595494 and 87649974595503.

It is not an unprimeable number, because it can be changed into a prime (87649974595583) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 396165697 + ... + 396386880.

Almost surely, 2^{87649974595584} is an apocalyptic number.

It is an amenable number.

87649974595584 is an abundant number, since it is smaller than the sum of its proper divisors (172021952060336).

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

87649974595584 is an equidigital number, since it uses as much as digits as its factorization.

87649974595584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792552610 (or 792552582 counting only the distinct ones).

The product of its digits is 109734912000, while the sum is 90.

The spelling of 87649974595584 in words is "eighty-seven trillion, six hundred forty-nine billion, nine hundred seventy-four million, five hundred ninety-five thousand, five hundred eighty-four".