492087665160 has 768 divisors, whose sum is σ = 2069486415360. Its totient is φ = 102389391360.

The previous prime is 492087665129. The next prime is 492087665189. The reversal of 492087665160 is 61566780294.

492087665160 is a `hidden beast` number, since 49 + 2 + 0 + 87 + 6 + 6 + 516 + 0 = 666.

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 = 492087665097 and 492087665106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 64566150 + ... + 64573770.

It is an arithmetic number, because the mean of its divisors is an integer number (2694643770).

Almost surely, 2^492087665160 is an apocalyptic number.

492087665160 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 492087665160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034743207680).

492087665160 is an abundant number, since it is smaller than the sum of its proper divisors (1577398750200).

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

492087665160 is a wasteful number, since it uses less digits than its factorization.

492087665160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7740 (or 7724 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 492087665160 in words is "four hundred ninety-two billion, eighty-seven million, six hundred sixty-five thousand, one hundred sixty".