11957913716640 has 384 divisors, whose sum is σ = 38307764823552. Its totient is φ = 3135097405440.

The previous prime is 11957913716629. The next prime is 11957913716641. The reversal of 11957913716640 is 4661731975911.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (11957913716641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9052167180 + ... + 9052168500.

It is an arithmetic number, because the mean of its divisors is an integer number (99759804228).

Almost surely, 2^{11957913716640} is an apocalyptic number.

11957913716640 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 11957913716640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19153882411776).

11957913716640 is an abundant number, since it is smaller than the sum of its proper divisors (26349851106912).

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

11957913716640 is a wasteful number, since it uses less digits than its factorization.

11957913716640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 60.

The spelling of 11957913716640 in words is "eleven trillion, nine hundred fifty-seven billion, nine hundred thirteen million, seven hundred sixteen thousand, six hundred forty".