10990800456048 has 240 divisors, whose sum is σ = 35284759862976. Its totient is φ = 3128491192320.

The previous prime is 10990800455981. The next prime is 10990800456059. The reversal of 10990800456048 is 84065400809901.

10990800456048 is a `hidden beast` number, since 109 + 9 + 0 + 80 + 0 + 456 + 0 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10990800455985 and 10990800456003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292499790 + ... + 292537362.

Almost surely, 2^{10990800456048} is an apocalyptic number.

10990800456048 is a gapful number since it is divisible by the number (18) 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 10990800456048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17642379931488).

10990800456048 is an abundant number, since it is smaller than the sum of its proper divisors (24293959406928).

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

10990800456048 is a wasteful number, since it uses less digits than its factorization.

10990800456048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38672 (or 38663 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 10990800456048 in words is "ten trillion, nine hundred ninety billion, eight hundred million, four hundred fifty-six thousand, forty-eight".