11857373268624 has 640 divisors, whose sum is σ = 40012414041600. Its totient is φ = 3371997081600.

The previous prime is 11857373268551. The next prime is 11857373268641. The reversal of 11857373268624 is 42686237375811.

It is a happy number.

11857373268624 is a `hidden beast` number, since 1 + 1 + 8 + 573 + 7 + 32 + 6 + 8 + 6 + 24 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 354347254 + ... + 354380714.

It is an arithmetic number, because the mean of its divisors is an integer number (62519396940).

Almost surely, 2^{11857373268624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11857373268624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20006207020800).

11857373268624 is an abundant number, since it is smaller than the sum of its proper divisors (28155040772976).

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

11857373268624 is a wasteful number, since it uses less digits than its factorization.

11857373268624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33563 (or 33539 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 11857373268624 in words is "eleven trillion, eight hundred fifty-seven billion, three hundred seventy-three million, two hundred sixty-eight thousand, six hundred twenty-four".