87028473762576 has 120 divisors (see below), whose sum is σ = 256506395868320. Its totient is φ = 27468884602368.

The previous prime is 87028473762499. The next prime is 87028473762617. The reversal of 87028473762576 is 67526737482078.

87028473762576 is a `hidden beast` number, since 8 + 7 + 0 + 2 + 8 + 47 + 3 + 7 + 6 + 2 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 2527246 + ... + 13432941.

Almost surely, 2^{87028473762576} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87028473762576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128253197934160).

87028473762576 is an abundant number, since it is smaller than the sum of its proper divisors (169477922105744).

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

87028473762576 is a wasteful number, since it uses less digits than its factorization.

87028473762576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15962213 (or 15962204 counting only the distinct ones).

The product of its (nonzero) digits is 1327656960, while the sum is 72.

The spelling of 87028473762576 in words is "eighty-seven trillion, twenty-eight billion, four hundred seventy-three million, seven hundred sixty-two thousand, five hundred seventy-six".