493879534092000 has 1536 divisors, whose sum is σ = 2111072364011520. Its totient is φ = 109783434240000.

The previous prime is 493879534091989. The next prime is 493879534092001. The reversal of 493879534092000 is 290435978394.

493879534092000 is a `hidden beast` number, since 4 + 9 + 3 + 8 + 7 + 9 + 534 + 0 + 92 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493879534092001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 112475409805 + ... + 112475414195.

It is an arithmetic number, because the mean of its divisors is an integer number (1374396070320).

Almost surely, 2^{493879534092000} is an apocalyptic number.

493879534092000 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 493879534092000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055536182005760).

493879534092000 is an abundant number, since it is smaller than the sum of its proper divisors (1617192829919520).

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

493879534092000 is a wasteful number, since it uses less digits than its factorization.

493879534092000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8490 (or 8466 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 493879534092000 in words is "four hundred ninety-three trillion, eight hundred seventy-nine billion, five hundred thirty-four million, ninety-two thousand".