11957740905600 has 768 divisors, whose sum is σ = 51627152793600. Its totient is φ = 2645026099200.

The previous prime is 11957740905533. The next prime is 11957740905611. The reversal of 11957740905600 is 650904775911.

11957740905600 is a `hidden beast` number, since 1 + 1 + 9 + 5 + 7 + 74 + 0 + 9 + 0 + 560 + 0 = 666.

It is a super-2 number, since 2×11957740905600² (a number of 27 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 18429907 + ... + 19067693.

It is an arithmetic number, because the mean of its divisors is an integer number (67222855200).

Almost surely, 2^{11957740905600} is an apocalyptic number.

11957740905600 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 11957740905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25813576396800).

11957740905600 is an abundant number, since it is smaller than the sum of its proper divisors (39669411888000).

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

11957740905600 is a wasteful number, since it uses less digits than its factorization.

11957740905600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637858 (or 637835 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 54.

The spelling of 11957740905600 in words is "eleven trillion, nine hundred fifty-seven billion, seven hundred forty million, nine hundred five thousand, six hundred".