10790948044800 has 2376 divisors, whose sum is σ = 50357540015328. Its totient is φ = 2242274918400.

The previous prime is 10790948044763. The next prime is 10790948044801. The reversal of 10790948044800 is 844084909701.

10790948044800 is a `hidden beast` number, since 1 + 0 + 79 + 0 + 94 + 8 + 0 + 4 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2376).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10790948044801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 980995276795 + ... + 980995276805.

Almost surely, 2^{10790948044800} is an apocalyptic number.

10790948044800 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 10790948044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25178770007664).

10790948044800 is an abundant number, since it is smaller than the sum of its proper divisors (39566591970528).

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

10790948044800 is an frugal number, since it uses more digits than its factorization.

10790948044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 10790948044800 in words is "ten trillion, seven hundred ninety billion, nine hundred forty-eight million, forty-four thousand, eight hundred".