11253649256640 has 840 divisors, whose sum is σ = 46880235982800. Its totient is φ = 2554956214272.

The previous prime is 11253649256609. The next prime is 11253649256657. The reversal of 11253649256640 is 4665294635211.

11253649256640 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 36 + 4 + 9 + 2 + 566 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 189212187 + ... + 189271653.

Almost surely, 2^{11253649256640} is an apocalyptic number.

11253649256640 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 11253649256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23440117991400).

11253649256640 is an abundant number, since it is smaller than the sum of its proper divisors (35626586726160).

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

11253649256640 is a wasteful number, since it uses less digits than its factorization.

11253649256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59659 (or 59633 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 11253649256640 in words is "eleven trillion, two hundred fifty-three billion, six hundred forty-nine million, two hundred fifty-six thousand, six hundred forty".