87962826978 has 96 divisors (see below), whose sum is σ = 207006613632. Its totient is φ = 26834112000.

The previous prime is 87962826869. The next prime is 87962827003.

87962826978 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×87962826978² (a number of 23 digits) contains 22 as substring.

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, 20738938 + ... + 20743178.

It is an arithmetic number, because the mean of its divisors is an integer number (2156318892).

Almost surely, 2^87962826978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87962826978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103503306816).

87962826978 is an abundant number, since it is smaller than the sum of its proper divisors (119043786654).

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

87962826978 is a wasteful number, since it uses less digits than its factorization.

87962826978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5000 (or 4997 counting only the distinct ones).

The product of its digits is 292626432, while the sum is 72.

The spelling of 87962826978 in words is "eighty-seven billion, nine hundred sixty-two million, eight hundred twenty-six thousand, nine hundred seventy-eight".