11253936476160 has 2080 divisors, whose sum is σ = 49803565616640. Its totient is φ = 2374008569856.

The previous prime is 11253936476149. The next prime is 11253936476173. The reversal of 11253936476160 is 6167463935211.

11253936476160 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 3 + 9 + 3 + 6 + 476 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11253936476097 and 11253936476106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7745309994 + ... + 7745311446.

Almost surely, 2^{11253936476160} is an apocalyptic number.

11253936476160 is a gapful number since it is divisible by the number (10) 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 11253936476160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24901782808320).

11253936476160 is an abundant number, since it is smaller than the sum of its proper divisors (38549629140480).

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

11253936476160 is a wasteful number, since it uses less digits than its factorization.

11253936476160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 11253936476160 in words is "eleven trillion, two hundred fifty-three billion, nine hundred thirty-six million, four hundred seventy-six thousand, one hundred sixty".