87713093913408 has 448 divisors, whose sum is σ = 270384211722240. Its totient is φ = 27848195020800.

The previous prime is 87713093913397. The next prime is 87713093913449. The reversal of 87713093913408 is 80431939031778.

87713093913408 is a `hidden beast` number, since 8 + 7 + 7 + 130 + 9 + 3 + 91 + 3 + 408 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4418118010 + ... + 4418137862.

It is an arithmetic number, because the mean of its divisors is an integer number (603536186880).

Almost surely, 2^{87713093913408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87713093913408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135192105861120).

87713093913408 is an abundant number, since it is smaller than the sum of its proper divisors (182671117808832).

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

87713093913408 is a wasteful number, since it uses less digits than its factorization.

87713093913408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21203 (or 21187 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 87713093913408 in words is "eighty-seven trillion, seven hundred thirteen billion, ninety-three million, nine hundred thirteen thousand, four hundred eight".