11537757741104 has 120 divisors (see below), whose sum is σ = 26846718235776. Its totient is φ = 4784572800000.

The previous prime is 11537757741077. The next prime is 11537757741157. The reversal of 11537757741104 is 40114775773511.

It is a happy number.

It is a super-2 number, since 2×11537757741104² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 196857404 + ... + 196916004.

Almost surely, 2^{11537757741104} is an apocalyptic number.

11537757741104 is a gapful number since it is divisible by the number (14) 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 11537757741104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13423359117888).

11537757741104 is an abundant number, since it is smaller than the sum of its proper divisors (15308960494672).

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

11537757741104 is a wasteful number, since it uses less digits than its factorization.

11537757741104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66755 (or 66742 counting only the distinct ones).

The product of its (nonzero) digits is 2881200, while the sum is 53.

The spelling of 11537757741104 in words is "eleven trillion, five hundred thirty-seven billion, seven hundred fifty-seven million, seven hundred forty-one thousand, one hundred four".