11977510851648 has 448 divisors, whose sum is σ = 37779157278720. Its totient is φ = 3711419357184.

The previous prime is 11977510851641. The next prime is 11977510851667. The reversal of 11977510851648 is 84615801577911.

11977510851648 is a `hidden beast` number, since 1 + 1 + 9 + 7 + 7 + 5 + 108 + 516 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (11977510851641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1421996365 + ... + 1422004787.

Almost surely, 2^{11977510851648} is an apocalyptic number.

11977510851648 is a gapful number since it is divisible by the number (18) 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 11977510851648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18889578639360).

11977510851648 is an abundant number, since it is smaller than the sum of its proper divisors (25801646427072).

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

11977510851648 is a wasteful number, since it uses less digits than its factorization.

11977510851648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9471 (or 9455 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 63.

The spelling of 11977510851648 in words is "eleven trillion, nine hundred seventy-seven billion, five hundred ten million, eight hundred fifty-one thousand, six hundred forty-eight".