85979292497280 has 3072 divisors, whose sum is σ = 391770148089600. Its totient is φ = 17878638919680.

The previous prime is 85979292497279. The next prime is 85979292497387. The reversal of 85979292497280 is 8279429297958.

85979292497280 is a `hidden beast` number, since 8 + 5 + 9 + 7 + 9 + 292 + 49 + 7 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 85979292497280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 65086519020 + ... + 65086520340.

Almost surely, 2^{85979292497280} is an apocalyptic number.

85979292497280 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 85979292497280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195885074044800).

85979292497280 is an abundant number, since it is smaller than the sum of its proper divisors (305790855592320).

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

85979292497280 is a wasteful number, since it uses less digits than its factorization.

85979292497280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 3292047360, while the sum is 81.

The spelling of 85979292497280 in words is "eighty-five trillion, nine hundred seventy-nine billion, two hundred ninety-two million, four hundred ninety-seven thousand, two hundred eighty".