493138897832880 has 640 divisors, whose sum is σ = 1848414433904640. Its totient is φ = 120117684326400.

The previous prime is 493138897832837. The next prime is 493138897832983. The reversal of 493138897832880 is 88238798831394.

493138897832880 is a `hidden beast` number, since 4 + 9 + 3 + 138 + 89 + 7 + 8 + 328 + 80 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 493138897832880.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5068026309 + ... + 5068123611.

It is an arithmetic number, because the mean of its divisors is an integer number (2888147552976).

Almost surely, 2^{493138897832880} is an apocalyptic number.

493138897832880 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 493138897832880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924207216952320).

493138897832880 is an abundant number, since it is smaller than the sum of its proper divisors (1355275536071760).

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

493138897832880 is a wasteful number, since it uses less digits than its factorization.

493138897832880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99226 (or 99214 counting only the distinct ones).

The product of its (nonzero) digits is 4013162496, while the sum is 81.

The spelling of 493138897832880 in words is "four hundred ninety-three trillion, one hundred thirty-eight billion, eight hundred ninety-seven million, eight hundred thirty-two thousand, eight hundred eighty".