86979862800 has 240 divisors, whose sum is σ = 310651783680. Its totient is φ = 23114626560.

The previous prime is 86979862763. The next prime is 86979862807. The reversal of 86979862800 is 826897968.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (86979862807) 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, 3150657 + ... + 3178143.

It is an arithmetic number, because the mean of its divisors is an integer number (1294382432).

Almost surely, 2^86979862800 is an apocalyptic number.

86979862800 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 86979862800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155325891840).

86979862800 is an abundant number, since it is smaller than the sum of its proper divisors (223671920880).

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

86979862800 is a wasteful number, since it uses less digits than its factorization.

86979862800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27807 (or 27790 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 86979862800 in words is "eighty-six billion, nine hundred seventy-nine million, eight hundred sixty-two thousand, eight hundred".