11453315120 has 80 divisors (see below), whose sum is σ = 28695455040. Its totient is φ = 4226245632.

The previous prime is 11453315117. The next prime is 11453315141. The reversal of 11453315120 is 2151335411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11453315120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 11453315120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2532221 + ... + 2536739.

It is an arithmetic number, because the mean of its divisors is an integer number (358693188).

Almost surely, 2^11453315120 is an apocalyptic number.

11453315120 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 11453315120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14347727520).

11453315120 is an abundant number, since it is smaller than the sum of its proper divisors (17242139920).

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

11453315120 is a wasteful number, since it uses less digits than its factorization.

11453315120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6982 (or 6976 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The spelling of 11453315120 in words is "eleven billion, four hundred fifty-three million, three hundred fifteen thousand, one hundred twenty".