493215794809920 has 2688 divisors, whose sum is σ = 2154728648217600. Its totient is φ = 101394557042688.

The previous prime is 493215794809883. The next prime is 493215794809957. The reversal of 493215794809920 is 29908497512394.

493215794809920 is a `hidden beast` number, since 4 + 9 + 3 + 2 + 1 + 57 + 9 + 480 + 9 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (493215794809883) and next prime (493215794809957).

It is a super-2 number, since 2×493215794809920² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 383 ways as a sum of consecutive naturals, for example, 382634440636 + ... + 382634441924.

It is an arithmetic number, because the mean of its divisors is an integer number (801610360200).

Almost surely, 2^{493215794809920} is an apocalyptic number.

493215794809920 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 493215794809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077364324108800).

493215794809920 is an abundant number, since it is smaller than the sum of its proper divisors (1661512853407680).

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

493215794809920 is a wasteful number, since it uses less digits than its factorization.

493215794809920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 493215794809920 in words is "four hundred ninety-three trillion, two hundred fifteen billion, seven hundred ninety-four million, eight hundred nine thousand, nine hundred twenty".