11253271518720 has 960 divisors, whose sum is σ = 51448393092096. Its totient is φ = 2200786698240.

The previous prime is 11253271518667. The next prime is 11253271518761. The reversal of 11253271518720 is 2781517235211.

11253271518720 is a `hidden beast` number, since 1 + 1 + 2 + 532 + 7 + 15 + 1 + 87 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×11253271518720² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29972797 + ... + 30345923.

Almost surely, 2^{11253271518720} is an apocalyptic number.

11253271518720 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 11253271518720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25724196546048).

11253271518720 is an abundant number, since it is smaller than the sum of its proper divisors (40195121573376).

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

11253271518720 is a wasteful number, since it uses less digits than its factorization.

11253271518720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373191 (or 373172 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 45.

The spelling of 11253271518720 in words is "eleven trillion, two hundred fifty-three billion, two hundred seventy-one million, five hundred eighteen thousand, seven hundred twenty".