493657510080 has 448 divisors, whose sum is σ = 1817018431488. Its totient is φ = 111224586240.

The previous prime is 493657510061. The next prime is 493657510081. The reversal of 493657510080 is 80015756394.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (493657510081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 161271750 + ... + 161274810.

Almost surely, 2^493657510080 is an apocalyptic number.

493657510080 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 493657510080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908509215744).

493657510080 is an abundant number, since it is smaller than the sum of its proper divisors (1323360921408).

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

493657510080 is a wasteful number, since it uses less digits than its factorization.

493657510080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3424 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 493657510080 in words is "four hundred ninety-three billion, six hundred fifty-seven million, five hundred ten thousand, eighty".