493725732514560 has 2592 divisors, whose sum is σ = 2247414489815040. Its totient is φ = 102848826802176.

The previous prime is 493725732514543. The next prime is 493725732514571. The reversal of 493725732514560 is 65415237527394.

493725732514560 is a `hidden beast` number, since 4 + 9 + 3 + 7 + 2 + 57 + 3 + 2 + 5 + 14 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×493725732514560² (a number of 30 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 15652450149 + ... + 15652481691.

Almost surely, 2^{493725732514560} is an apocalyptic number.

493725732514560 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 493725732514560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123707244907520).

493725732514560 is an abundant number, since it is smaller than the sum of its proper divisors (1753688757300480).

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

493725732514560 is a wasteful number, since it uses less digits than its factorization.

493725732514560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31685 (or 31652 counting only the distinct ones).

The product of its (nonzero) digits is 190512000, while the sum is 63.

The spelling of 493725732514560 in words is "four hundred ninety-three trillion, seven hundred twenty-five billion, seven hundred thirty-two million, five hundred fourteen thousand, five hundred sixty".