11747612106400 has 72 divisors (see below), whose sum is σ = 29164940511840. Its totient is φ = 4619399996160.

The previous prime is 11747612106317. The next prime is 11747612106401. The reversal of 11747612106400 is 460121674711.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (11747612106401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124397844 + ... + 124492243.

It is an arithmetic number, because the mean of its divisors is an integer number (405068618220).

Almost surely, 2^{11747612106400} is an apocalyptic number.

11747612106400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11747612106400 is an abundant number, since it is smaller than the sum of its proper divisors (17417328405440).

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

11747612106400 is a wasteful number, since it uses less digits than its factorization.

11747612106400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248890166 (or 248890153 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The spelling of 11747612106400 in words is "eleven trillion, seven hundred forty-seven billion, six hundred twelve million, one hundred six thousand, four hundred".