496365256800 has 864 divisors, whose sum is σ = 2198278051200. Its totient is φ = 107479249920.

The previous prime is 496365256763. The next prime is 496365256801. The reversal of 496365256800 is 8652563694.

496365256800 is a `hidden beast` number, since 4 + 9 + 6 + 36 + 525 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496365256801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20097259 + ... + 20121941.

It is an arithmetic number, because the mean of its divisors is an integer number (2544303300).

Almost surely, 2^496365256800 is an apocalyptic number.

496365256800 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 496365256800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099139025600).

496365256800 is an abundant number, since it is smaller than the sum of its proper divisors (1701912794400).

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

496365256800 is a wasteful number, since it uses less digits than its factorization.

496365256800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24745 (or 24719 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 496365256800 in words is "four hundred ninety-six billion, three hundred sixty-five million, two hundred fifty-six thousand, eight hundred".