87944838808320 has 1440 divisors, whose sum is σ = 363185511841152. Its totient is φ = 20146840141824.

The previous prime is 87944838808303. The next prime is 87944838808331. The reversal of 87944838808320 is 2380883844978.

87944838808320 is a `hidden beast` number, since 8 + 7 + 9 + 448 + 3 + 8 + 80 + 83 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 159 ways as a sum of consecutive naturals, for example, 1146973504 + ... + 1147050176.

Almost surely, 2^{87944838808320} is an apocalyptic number.

87944838808320 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 87944838808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181592755920576).

87944838808320 is an abundant number, since it is smaller than the sum of its proper divisors (275240673032832).

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

87944838808320 is a wasteful number, since it uses less digits than its factorization.

87944838808320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76779 (or 76756 counting only the distinct ones).

The product of its (nonzero) digits is 594542592, while the sum is 72.

The spelling of 87944838808320 in words is "eighty-seven trillion, nine hundred forty-four billion, eight hundred thirty-eight million, eight hundred eight thousand, three hundred twenty".