11764427705360 has 320 divisors, whose sum is σ = 30437273318400. Its totient is φ = 4193259325440.

The previous prime is 11764427705299. The next prime is 11764427705383. The reversal of 11764427705360 is 6350772446711.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3970443239 + ... + 3970446201.

It is an arithmetic number, because the mean of its divisors is an integer number (95116479120).

Almost surely, 2^{11764427705360} is an apocalyptic number.

11764427705360 is a gapful number since it is divisible by the number (10) 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 11764427705360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15218636659200).

11764427705360 is an abundant number, since it is smaller than the sum of its proper divisors (18672845613040).

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

11764427705360 is a wasteful number, since it uses less digits than its factorization.

11764427705360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3526 (or 3520 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 53.

The spelling of 11764427705360 in words is "eleven trillion, seven hundred sixty-four billion, four hundred twenty-seven million, seven hundred five thousand, three hundred sixty".