86978137344 has 288 divisors, whose sum is σ = 275496533760. Its totient is φ = 23843635200.

The previous prime is 86978137307. The next prime is 86978137373. The reversal of 86978137344 is 44373187968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13442142 + ... + 13448610.

Almost surely, 2^86978137344 is an apocalyptic number.

86978137344 is a gapful number since it is divisible by the number (84) 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 86978137344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137748266880).

86978137344 is an abundant number, since it is smaller than the sum of its proper divisors (188518396416).

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

86978137344 is a wasteful number, since it uses less digits than its factorization.

86978137344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6597 (or 6583 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 60.

The spelling of 86978137344 in words is "eighty-six billion, nine hundred seventy-eight million, one hundred thirty-seven thousand, three hundred forty-four".