87092863200 has 1152 divisors, whose sum is σ = 393814794240. Its totient is φ = 18114969600.

The previous prime is 87092863181. The next prime is 87092863211. The reversal of 87092863200 is 236829078.

87092863200 is a `hidden beast` number, since 8 + 7 + 0 + 9 + 2 + 8 + 632 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79681854 + ... + 79682946.

It is an arithmetic number, because the mean of its divisors is an integer number (341853120).

Almost surely, 2^87092863200 is an apocalyptic number.

87092863200 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 87092863200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196907397120).

87092863200 is an abundant number, since it is smaller than the sum of its proper divisors (306721931040).

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

87092863200 is a wasteful number, since it uses less digits than its factorization.

87092863200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 87092863200 in words is "eighty-seven billion, ninety-two million, eight hundred sixty-three thousand, two hundred".