492753132748800 has 2304 divisors, whose sum is σ = 2228733909043200. Its totient is φ = 101084980838400.

The previous prime is 492753132748759. The next prime is 492753132748819. The reversal of 492753132748800 is 8847231357294.

It is a happy number.

492753132748800 is a `hidden beast` number, since 4 + 9 + 27 + 531 + 3 + 2 + 74 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

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, 44848736907 + ... + 44848747893.

It is an arithmetic number, because the mean of its divisors is an integer number (967332425800).

Almost surely, 2^{492753132748800} is an apocalyptic number.

492753132748800 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 492753132748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114366954521600).

492753132748800 is an abundant number, since it is smaller than the sum of its proper divisors (1735980776294400).

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

492753132748800 is a wasteful number, since it uses less digits than its factorization.

492753132748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11130 (or 11094 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 492753132748800 in words is "four hundred ninety-two trillion, seven hundred fifty-three billion, one hundred thirty-two million, seven hundred forty-eight thousand, eight hundred".