10493808192000 has 960 divisors, whose sum is σ = 43718093362944. Its totient is φ = 2369610547200.

The previous prime is 10493808191969. The next prime is 10493808192041. The reversal of 10493808192000 is 29180839401.

10493808192000 is a `hidden beast` number, since 1 + 0 + 493 + 80 + 81 + 9 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×10493808192000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 334640322 + ... + 334671678.

Almost surely, 2^{10493808192000} is an apocalyptic number.

10493808192000 is a gapful number since it is divisible by the number (10) 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 10493808192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21859046681472).

10493808192000 is an abundant number, since it is smaller than the sum of its proper divisors (33224285170944).

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

10493808192000 is an equidigital number, since it uses as much as digits as its factorization.

10493808192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31486 (or 31457 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 10493808192000 in words is "ten trillion, four hundred ninety-three billion, eight hundred eight million, one hundred ninety-two thousand".