86977013760 has 768 divisors, whose sum is σ = 380634508800. Its totient is φ = 18345885696.

The previous prime is 86977013741. The next prime is 86977013771. The reversal of 86977013760 is 6731077968.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 86977013697 and 86977013706.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25157952 + ... + 25161408.

It is an arithmetic number, because the mean of its divisors is an integer number (495617850).

Almost surely, 2^86977013760 is an apocalyptic number.

86977013760 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 86977013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190317254400).

86977013760 is an abundant number, since it is smaller than the sum of its proper divisors (293657495040).

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

86977013760 is a wasteful number, since it uses less digits than its factorization.

86977013760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3513 (or 3487 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 86977013760 in words is "eighty-six billion, nine hundred seventy-seven million, thirteen thousand, seven hundred sixty".