11857968046080 has 672 divisors, whose sum is σ = 44698683085056. Its totient is φ = 2890425434112.

The previous prime is 11857968046039. The next prime is 11857968046103. The reversal of 11857968046080 is 8064086975811.

11857968046080 is a `hidden beast` number, since 1 + 1 + 8 + 5 + 7 + 96 + 8 + 0 + 460 + 80 = 666.

It is a super-2 number, since 2×11857968046080² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11857968045999 and 11857968046017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 493596949 + ... + 493620971.

It is an arithmetic number, because the mean of its divisors is an integer number (66515897448).

Almost surely, 2^{11857968046080} is an apocalyptic number.

11857968046080 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 11857968046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22349341542528).

11857968046080 is an abundant number, since it is smaller than the sum of its proper divisors (32840715038976).

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

11857968046080 is a wasteful number, since it uses less digits than its factorization.

11857968046080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24176 (or 24149 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 11857968046080 in words is "eleven trillion, eight hundred fifty-seven billion, nine hundred sixty-eight million, forty-six thousand, eighty".