87125216954400 has 360 divisors, whose sum is σ = 317851871467284. Its totient is φ = 23224386355200.

The previous prime is 87125216954381. The next prime is 87125216954441. The reversal of 87125216954400 is 445961252178.

87125216954400 is a `hidden beast` number, since 8 + 7 + 1 + 2 + 521 + 69 + 54 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 67278512713104 + 19846704241296 = 8202348^2 + 4454964^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 167767140 + ... + 168285660.

Almost surely, 2^{87125216954400} is an apocalyptic number.

87125216954400 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 87125216954400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158925935733642).

87125216954400 is an abundant number, since it is smaller than the sum of its proper divisors (230726654512884).

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

87125216954400 is a wasteful number, since it uses less digits than its factorization.

87125216954400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521146 (or 521124 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 87125216954400 in words is "eighty-seven trillion, one hundred twenty-five billion, two hundred sixteen million, nine hundred fifty-four thousand, four hundred".