496576080000 has 2880 divisors, whose sum is σ = 2456126038080. Its totient is φ = 93450240000.

The previous prime is 496576079957. The next prime is 496576080029. The reversal of 496576080000 is 80675694.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 9369359974 + ... + 9369360026.

It is an arithmetic number, because the mean of its divisors is an integer number (852821541).

Almost surely, 2^496576080000 is an apocalyptic number.

496576080000 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 496576080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228063019040).

496576080000 is an abundant number, since it is smaller than the sum of its proper divisors (1959549958080).

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

496576080000 is a wasteful number, since it uses less digits than its factorization.

496576080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 496576080000 in words is "four hundred ninety-six billion, five hundred seventy-six million, eighty thousand".