11997740748960 has 672 divisors, whose sum is σ = 44985926240640. Its totient is φ = 3017197983744.

The previous prime is 11997740748943. The next prime is 11997740749063. The reversal of 11997740748960 is 6984704779911.

11997740748960 is a `hidden beast` number, since 1 + 1 + 9 + 97 + 7 + 407 + 48 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 145408837 + ... + 145491323.

It is an arithmetic number, because the mean of its divisors is an integer number (66943342620).

Almost surely, 2^{11997740748960} is an apocalyptic number.

11997740748960 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 11997740748960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22492963120320).

11997740748960 is an abundant number, since it is smaller than the sum of its proper divisors (32988185491680).

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

11997740748960 is an equidigital number, since it uses as much as digits as its factorization.

11997740748960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82592 (or 82569 counting only the distinct ones).

The product of its (nonzero) digits is 192036096, while the sum is 72.

The spelling of 11997740748960 in words is "eleven trillion, nine hundred ninety-seven billion, seven hundred forty million, seven hundred forty-eight thousand, nine hundred sixty".