11553410992896 has 720 divisors, whose sum is σ = 37223013864960. Its totient is φ = 3552693903360.

The previous prime is 11553410992853. The next prime is 11553410992969. The reversal of 11553410992896 is 69829901435511.

11553410992896 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 341 + 0 + 9 + 9 + 289 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3907137850 + ... + 3907140806.

It is an arithmetic number, because the mean of its divisors is an integer number (51698630368).

Almost surely, 2^{11553410992896} is an apocalyptic number.

11553410992896 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 11553410992896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18611506932480).

11553410992896 is an abundant number, since it is smaller than the sum of its proper divisors (25669602872064).

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

11553410992896 is a wasteful number, since it uses less digits than its factorization.

11553410992896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3262 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 63.

The spelling of 11553410992896 in words is "eleven trillion, five hundred fifty-three billion, four hundred ten million, nine hundred ninety-two thousand, eight hundred ninety-six".