87650215473600 has 4032 divisors, whose sum is σ = 372471111434240. Its totient is φ = 20123143372800.

The previous prime is 87650215473553. The next prime is 87650215473727. The reversal of 87650215473600 is 637451205678.

87650215473600 is a `hidden beast` number, since 8 + 7 + 6 + 5 + 0 + 21 + 5 + 4 + 7 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 903610468752 + ... + 903610468848.

Almost surely, 2^{87650215473600} is an apocalyptic number.

87650215473600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87650215473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186235555717120).

87650215473600 is an abundant number, since it is smaller than the sum of its proper divisors (284820895960640).

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

87650215473600 is a wasteful number, since it uses less digits than its factorization.

87650215473600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 87650215473600 in words is "eighty-seven trillion, six hundred fifty billion, two hundred fifteen million, four hundred seventy-three thousand, six hundred".