86251276076736 has 224 divisors, whose sum is σ = 240714407185920. Its totient is φ = 27180931276800.

The previous prime is 86251276076701. The next prime is 86251276076737. The reversal of 86251276076736 is 63767067215268.

It is not an unprimeable number, because it can be changed into a prime (86251276076737) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5480787460 + ... + 5480803196.

Almost surely, 2^{86251276076736} 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 86251276076736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120357203592960).

86251276076736 is an abundant number, since it is smaller than the sum of its proper divisors (154463131109184).

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

86251276076736 is a wasteful number, since it uses less digits than its factorization.

86251276076736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18783 (or 18773 counting only the distinct ones).

The product of its (nonzero) digits is 213373440, while the sum is 66.

The spelling of 86251276076736 in words is "eighty-six trillion, two hundred fifty-one billion, two hundred seventy-six million, seventy-six thousand, seven hundred thirty-six".