86960138496 has 432 divisors, whose sum is σ = 297358242048. Its totient is φ = 22306099200.

The previous prime is 86960138491. The next prime is 86960138537. The reversal of 86960138496 is 69483106968.

It is a super-2 number, since 2×86960138496² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86960138491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34356751 + ... + 34359281.

It is an arithmetic number, because the mean of its divisors is an integer number (688329264).

Almost surely, 2^86960138496 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 86960138496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148679121024).

86960138496 is an abundant number, since it is smaller than the sum of its proper divisors (210398103552).

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

86960138496 is a wasteful number, since it uses less digits than its factorization.

86960138496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2658 (or 2637 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 60.

It can be divided in two parts, 86960 and 138496, that added together give a triangular number (225456 = T₆₇₁).

The spelling of 86960138496 in words is "eighty-six billion, nine hundred sixty million, one hundred thirty-eight thousand, four hundred ninety-six".