11927257273344 has 704 divisors, whose sum is σ = 38646999465984. Its totient is φ = 3198320640000.

The previous prime is 11927257273319. The next prime is 11927257273367. The reversal of 11927257273344 is 44337275272911.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4947015499 + ... + 4947017909.

Almost surely, 2^{11927257273344} is an apocalyptic number.

11927257273344 is a gapful number since it is divisible by the number (14) 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 11927257273344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19323499732992).

11927257273344 is an abundant number, since it is smaller than the sum of its proper divisors (26719742192640).

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

11927257273344 is a wasteful number, since it uses less digits than its factorization.

11927257273344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2694 (or 2676 counting only the distinct ones).

The product of its digits is 17781120, while the sum is 57.

The spelling of 11927257273344 in words is "eleven trillion, nine hundred twenty-seven billion, two hundred fifty-seven million, two hundred seventy-three thousand, three hundred forty-four".