11311292653056 has 320 divisors, whose sum is σ = 36665061143040. Its totient is φ = 3414619422720.

The previous prime is 11311292653049. The next prime is 11311292653097. The reversal of 11311292653056 is 65035629211311.

11311292653056 is a `hidden beast` number, since 1 + 1 + 31 + 12 + 9 + 26 + 530 + 56 = 666.

It is a super-3 number, since 3×11311292653056³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39851416 + ... + 40134248.

It is an arithmetic number, because the mean of its divisors is an integer number (114578316072).

Almost surely, 2^{11311292653056} is an apocalyptic number.

11311292653056 is a gapful number since it is divisible by the number (16) 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 11311292653056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18332530571520).

11311292653056 is an abundant number, since it is smaller than the sum of its proper divisors (25353768489984).

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

11311292653056 is a wasteful number, since it uses less digits than its factorization.

11311292653056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283134 (or 283112 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 11311292653056 in words is "eleven trillion, three hundred eleven billion, two hundred ninety-two million, six hundred fifty-three thousand, fifty-six".