87264475200 has 840 divisors, whose sum is σ = 375278367552. Its totient is φ = 19473592320.

The previous prime is 87264475171. The next prime is 87264475211. The reversal of 87264475200 is 257446278.

It is a happy number.

87264475200 is a `hidden beast` number, since 87 + 2 + 6 + 4 + 47 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 39008482 + ... + 39010718.

Almost surely, 2^87264475200 is an apocalyptic number.

87264475200 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 87264475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187639183776).

87264475200 is an abundant number, since it is smaller than the sum of its proper divisors (288013892352).

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

87264475200 is a wasteful number, since it uses less digits than its factorization.

87264475200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2321 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 87264475200 in words is "eighty-seven billion, two hundred sixty-four million, four hundred seventy-five thousand, two hundred".