11957693874560 has 256 divisors, whose sum is σ = 32889276771840. Its totient is φ = 4072308867072.

The previous prime is 11957693874557. The next prime is 11957693874563. The reversal of 11957693874560 is 6547839675911.

It is an interprime number because it is at equal distance from previous prime (11957693874557) and next prime (11957693874563).

It is a super-3 number, since 3×11957693874560³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11957693874563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1713869792 + ... + 1713876768.

It is an arithmetic number, because the mean of its divisors is an integer number (128473737390).

Almost surely, 2^{11957693874560} is an apocalyptic number.

11957693874560 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 11957693874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16444638385920).

11957693874560 is an abundant number, since it is smaller than the sum of its proper divisors (20931582897280).

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

11957693874560 is a wasteful number, since it uses less digits than its factorization.

11957693874560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9513 (or 9501 counting only the distinct ones).

The product of its (nonzero) digits is 342921600, while the sum is 71.

The spelling of 11957693874560 in words is "eleven trillion, nine hundred fifty-seven billion, six hundred ninety-three million, eight hundred seventy-four thousand, five hundred sixty".