11802554496 has 256 divisors, whose sum is σ = 35642880000. Its totient is φ = 3844039680.

The previous prime is 11802554411. The next prime is 11802554497. The reversal of 11802554496 is 69445520811.

11802554496 is a `hidden beast` number, since 1 + 1 + 8 + 0 + 2 + 554 + 4 + 96 = 666.

11802554496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×11802554496⁴ (a number of 41 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (11802554497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37950181 + ... + 37950491.

It is an arithmetic number, because the mean of its divisors is an integer number (139230000).

Almost surely, 2^11802554496 is an apocalyptic number.

11802554496 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 11802554496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17821440000).

11802554496 is an abundant number, since it is smaller than the sum of its proper divisors (23840325504).

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

11802554496 is a wasteful number, since it uses less digits than its factorization.

11802554496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 11802554496 in words is "eleven billion, eight hundred two million, five hundred fifty-four thousand, four hundred ninety-six".