492272292088080 has 720 divisors, whose sum is σ = 2101937760658944. Its totient is φ = 102484441866240.

The previous prime is 492272292088079. The next prime is 492272292088117. The reversal of 492272292088080 is 80880292272294.

492272292088080 is a `hidden beast` number, since 4 + 9 + 2 + 272 + 2 + 9 + 208 + 80 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 492272292087999 and 492272292088017.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5354139 + ... + 31830981.

Almost surely, 2^{492272292088080} is an apocalyptic number.

492272292088080 is a gapful number since it is divisible by the number (40) 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 492272292088080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050968880329472).

492272292088080 is an abundant number, since it is smaller than the sum of its proper divisors (1609665468570864).

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

492272292088080 is a wasteful number, since it uses less digits than its factorization.

492272292088080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26476924 (or 26476908 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 492272292088080 in words is "four hundred ninety-two trillion, two hundred seventy-two billion, two hundred ninety-two million, eighty-eight thousand, eighty".