87983393256 has 192 divisors, whose sum is σ = 268651468800. Its totient is φ = 25771305600.

The previous prime is 87983393207. The next prime is 87983393273. The reversal of 87983393256 is 65239338978.

It is a junction number, because it is equal to n+sod(n) for n = 87983393193 and 87983393202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29141715 + ... + 29144733.

It is an arithmetic number, because the mean of its divisors is an integer number (1399226400).

Almost surely, 2^87983393256 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 87983393256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134325734400).

87983393256 is an abundant number, since it is smaller than the sum of its proper divisors (180668075544).

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

87983393256 is a wasteful number, since it uses less digits than its factorization.

87983393256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4260 (or 4253 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 87983393256 in words is "eighty-seven billion, nine hundred eighty-three million, three hundred ninety-three thousand, two hundred fifty-six".