87956805376 has 216 divisors, whose sum is σ = 208054565712. Its totient is φ = 36677222400.

The previous prime is 87956805373. The next prime is 87956805463. The reversal of 87956805376 is 67350865978.

It is a super-2 number, since 2×87956805376² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87956805373) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80472286 + ... + 80473378.

It is an arithmetic number, because the mean of its divisors is an integer number (963215582).

Almost surely, 2^87956805376 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 87956805376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104027282856).

87956805376 is an abundant number, since it is smaller than the sum of its proper divisors (120097760336).

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

87956805376 is a wasteful number, since it uses less digits than its factorization.

87956805376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 64.

The spelling of 87956805376 in words is "eighty-seven billion, nine hundred fifty-six million, eight hundred five thousand, three hundred seventy-six".