11745096007680 has 1920 divisors, whose sum is σ = 50516852601600. Its totient is φ = 2557127688192.

The previous prime is 11745096007637. The next prime is 11745096007727. The reversal of 11745096007680 is 8670069054711.

11745096007680 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 509 + 60 + 0 + 76 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 49142661001 + ... + 49142661239.

It is an arithmetic number, because the mean of its divisors is an integer number (26310860730).

Almost surely, 2^{11745096007680} is an apocalyptic number.

11745096007680 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 11745096007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25258426300800).

11745096007680 is an abundant number, since it is smaller than the sum of its proper divisors (38771756593920).

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

11745096007680 is an frugal number, since it uses more digits than its factorization.

11745096007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 11745096007680 in words is "eleven trillion, seven hundred forty-five billion, ninety-six million, seven thousand, six hundred eighty".