86716152427520 has 528 divisors, whose sum is σ = 264203357516928. Its totient is φ = 27005259939840.

The previous prime is 86716152427501. The next prime is 86716152427571. The reversal of 86716152427520 is 2572425161768.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

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, 3375075794 + ... + 3375101486.

Almost surely, 2^{86716152427520} is an apocalyptic number.

86716152427520 is a gapful number since it is divisible by the number (80) 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 86716152427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132101678758464).

86716152427520 is an abundant number, since it is smaller than the sum of its proper divisors (177487205089408).

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

86716152427520 is a wasteful number, since it uses less digits than its factorization.

86716152427520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26966 (or 26941 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 56.

The spelling of 86716152427520 in words is "eighty-six trillion, seven hundred sixteen billion, one hundred fifty-two million, four hundred twenty-seven thousand, five hundred twenty".