11800996010496 has 480 divisors, whose sum is σ = 44697407040000. Its totient is φ = 2903866122240.

The previous prime is 11800996010459. The next prime is 11800996010509. The reversal of 11800996010496 is 69401069900811.

11800996010496 is a `hidden beast` number, since 1 + 1 + 8 + 0 + 0 + 99 + 60 + 1 + 0 + 496 = 666.

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 47 ways as a sum of consecutive naturals, for example, 5866255 + ... + 7616753.

It is an arithmetic number, because the mean of its divisors is an integer number (93119598000).

Almost surely, 2^{11800996010496} is an apocalyptic number.

11800996010496 is a gapful number since it is divisible by the number (16) 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 11800996010496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22348703520000).

11800996010496 is an abundant number, since it is smaller than the sum of its proper divisors (32896411029504).

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

11800996010496 is a wasteful number, since it uses less digits than its factorization.

11800996010496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750560 (or 1750541 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The spelling of 11800996010496 in words is "eleven trillion, eight hundred billion, nine hundred ninety-six million, ten thousand, four hundred ninety-six".