11957195315520 has 1792 divisors, whose sum is σ = 55044012441600. Its totient is φ = 2375290552320.

The previous prime is 11957195315473. The next prime is 11957195315561. The reversal of 11957195315520 is 2551359175911.

11957195315520 is a `hidden beast` number, since 1 + 1 + 9 + 57 + 1 + 9 + 5 + 31 + 552 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 901810651 + ... + 901823909.

It is an arithmetic number, because the mean of its divisors is an integer number (30716524800).

Almost surely, 2^{11957195315520} is an apocalyptic number.

11957195315520 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 11957195315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27522006220800).

11957195315520 is an abundant number, since it is smaller than the sum of its proper divisors (43086817126080).

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

11957195315520 is a wasteful number, since it uses less digits than its factorization.

11957195315520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13373 (or 13357 counting only the distinct ones).

The product of its (nonzero) digits is 2126250, while the sum is 54.

The spelling of 11957195315520 in words is "eleven trillion, nine hundred fifty-seven billion, one hundred ninety-five million, three hundred fifteen thousand, five hundred twenty".