87178092994944 has 1280 divisors, whose sum is σ = 311072807485440. Its totient is φ = 23713490534400.

The previous prime is 87178092994939. The next prime is 87178092994957. The reversal of 87178092994944 is 44949929087178.

87178092994944 is a `hidden beast` number, since 87 + 178 + 0 + 9 + 299 + 49 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

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, 39500720689 + ... + 39500722895.

It is an arithmetic number, because the mean of its divisors is an integer number (243025630848).

Almost surely, 2^{87178092994944} is an apocalyptic number.

87178092994944 is a gapful number since it is divisible by the number (84) 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 87178092994944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155536403742720).

87178092994944 is an abundant number, since it is smaller than the sum of its proper divisors (223894714490496).

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

87178092994944 is a wasteful number, since it uses less digits than its factorization.

87178092994944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2549 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 2633637888, while the sum is 81.

The spelling of 87178092994944 in words is "eighty-seven trillion, one hundred seventy-eight billion, ninety-two million, nine hundred ninety-four thousand, nine hundred forty-four".