11957549225160 has 1536 divisors, whose sum is σ = 48344673484800. Its totient is φ = 2335931136000.

The previous prime is 11957549225143. The next prime is 11957549225201. The reversal of 11957549225160 is 6152294575911.

It is a self number, because there is not a number n which added to its sum of digits gives 11957549225160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 28538303431 + ... + 28538303849.

It is an arithmetic number, because the mean of its divisors is an integer number (31474396800).

Almost surely, 2^{11957549225160} is an apocalyptic number.

11957549225160 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 11957549225160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24172336742400).

11957549225160 is an abundant number, since it is smaller than the sum of its proper divisors (36387124259640).

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

11957549225160 is a wasteful number, since it uses less digits than its factorization.

11957549225160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 57.

The spelling of 11957549225160 in words is "eleven trillion, nine hundred fifty-seven billion, five hundred forty-nine million, two hundred twenty-five thousand, one hundred sixty".