87279338764800 has 7200 divisors, whose sum is σ = 434561341294080. Its totient is φ = 17206434201600.

The previous prime is 87279338764753. The next prime is 87279338764823. The reversal of 87279338764800 is 846783397278.

87279338764800 is a `hidden beast` number, since 8 + 7 + 2 + 79 + 3 + 3 + 8 + 76 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7200).

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 719 ways as a sum of consecutive naturals, for example, 2815462540785 + ... + 2815462540815.

Almost surely, 2^{87279338764800} is an apocalyptic number.

87279338764800 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 87279338764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217280670647040).

87279338764800 is an abundant number, since it is smaller than the sum of its proper divisors (347282002529280).

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

87279338764800 is an equidigital number, since it uses as much as digits as its factorization.

87279338764800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 682795008, while the sum is 72.

The spelling of 87279338764800 in words is "eighty-seven trillion, two hundred seventy-nine billion, three hundred thirty-eight million, seven hundred sixty-four thousand, eight hundred".