87593873982960 has 320 divisors, whose sum is σ = 295321075384320. Its totient is φ = 21395687224320.

The previous prime is 87593873982899. The next prime is 87593873982977. The reversal of 87593873982960 is 6928937839578.

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, 155639187 + ... + 156200973.

It is an arithmetic number, because the mean of its divisors is an integer number (922878360576).

Almost surely, 2^{87593873982960} is an apocalyptic number.

87593873982960 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 87593873982960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147660537692160).

87593873982960 is an abundant number, since it is smaller than the sum of its proper divisors (207727201401360).

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

87593873982960 is a wasteful number, since it uses less digits than its factorization.

87593873982960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562956 (or 562950 counting only the distinct ones).

The product of its (nonzero) digits is 9876142080, while the sum is 84.

The spelling of 87593873982960 in words is "eighty-seven trillion, five hundred ninety-three billion, eight hundred seventy-three million, nine hundred eighty-two thousand, nine hundred sixty".