86708578897920 has 1664 divisors, whose sum is σ = 346551485644800. Its totient is φ = 18061014859776.

The previous prime is 86708578897879. The next prime is 86708578897951. The reversal of 86708578897920 is 2979887580768.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 86969486862 + ... + 86969487858.

Almost surely, 2^{86708578897920} is an apocalyptic number.

86708578897920 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 86708578897920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173275742822400).

86708578897920 is an abundant number, since it is smaller than the sum of its proper divisors (259842906746880).

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

86708578897920 is a wasteful number, since it uses less digits than its factorization.

86708578897920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 6827950080, while the sum is 84.

The spelling of 86708578897920 in words is "eighty-six trillion, seven hundred eight billion, five hundred seventy-eight million, eight hundred ninety-seven thousand, nine hundred twenty".