496307608977120 has 48 divisors (see below), whose sum is σ = 1563368968279440. Its totient is φ = 132348695727104.

The previous prime is 496307608977107. The next prime is 496307608977137. The reversal of 496307608977120 is 21779806703694.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 516987092205 + ... + 516987093164.

It is an arithmetic number, because the mean of its divisors is an integer number (32570186839155).

Almost surely, 2^{496307608977120} is an apocalyptic number.

496307608977120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

496307608977120 is an abundant number, since it is smaller than the sum of its proper divisors (1067061359302320).

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

496307608977120 is a wasteful number, since it uses less digits than its factorization.

496307608977120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033974185387 (or 1033974185379 counting only the distinct ones).

The product of its (nonzero) digits is 192036096, while the sum is 69.

The spelling of 496307608977120 in words is "four hundred ninety-six trillion, three hundred seven billion, six hundred eight million, nine hundred seventy-seven thousand, one hundred twenty".