11556767023104 has 240 divisors, whose sum is σ = 30977087158976. Its totient is φ = 3832322457600.

The previous prime is 11556767023091. The next prime is 11556767023121. The reversal of 11556767023104 is 40132076765511.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11319066114 + ... + 11319067134.

Almost surely, 2^{11556767023104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11556767023104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15488543579488).

11556767023104 is an abundant number, since it is smaller than the sum of its proper divisors (19420320135872).

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

11556767023104 is an equidigital number, since it uses as much as digits as its factorization.

11556767023104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The spelling of 11556767023104 in words is "eleven trillion, five hundred fifty-six billion, seven hundred sixty-seven million, twenty-three thousand, one hundred four".