11857913888772 has 288 divisors, whose sum is σ = 34827050926080. Its totient is φ = 3120074899200.

The previous prime is 11857913888771. The next prime is 11857913888813. The reversal of 11857913888772 is 27788831975811.

It is a super-3 number, since 3×11857913888772³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 11857913888694 and 11857913888703.

It is not an unprimeable number, because it can be changed into a prime (11857913888771) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 475769503 + ... + 475794425.

It is an arithmetic number, because the mean of its divisors is an integer number (120927260160).

Almost surely, 2^{11857913888772} is an apocalyptic number.

11857913888772 is a gapful number since it is divisible by the number (12) 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 11857913888772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17413525463040).

11857913888772 is an abundant number, since it is smaller than the sum of its proper divisors (22969137037308).

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

11857913888772 is a wasteful number, since it uses less digits than its factorization.

11857913888772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26151 (or 26142 counting only the distinct ones).

The product of its digits is 379330560, while the sum is 75.

The spelling of 11857913888772 in words is "eleven trillion, eight hundred fifty-seven billion, nine hundred thirteen million, eight hundred eighty-eight thousand, seven hundred seventy-two".