87991583680 has 896 divisors, whose sum is σ = 294653915136. Its totient is φ = 24153292800.

The previous prime is 87991583623. The next prime is 87991583711. The reversal of 87991583680 is 8638519978.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1205364124 + ... + 1205364196.

It is an arithmetic number, because the mean of its divisors is an integer number (328854816).

Almost surely, 2^87991583680 is an apocalyptic number.

87991583680 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 87991583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147326957568).

87991583680 is an abundant number, since it is smaller than the sum of its proper divisors (206662331456).

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

87991583680 is a wasteful number, since it uses less digits than its factorization.

87991583680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 64.

The spelling of 87991583680 in words is "eighty-seven billion, nine hundred ninety-one million, five hundred eighty-three thousand, six hundred eighty".