11553870720 has 384 divisors, whose sum is σ = 43222671360. Its totient is φ = 2617380864.

The previous prime is 11553870709. The next prime is 11553870817. The reversal of 11553870720 is 2707835511.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×11553870720² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11947677 + ... + 11948643.

It is an arithmetic number, because the mean of its divisors is an integer number (112559040).

Almost surely, 2^11553870720 is an apocalyptic number.

11553870720 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 11553870720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21611335680).

11553870720 is an abundant number, since it is smaller than the sum of its proper divisors (31668800640).

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

11553870720 is a wasteful number, since it uses less digits than its factorization.

11553870720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 39.

The spelling of 11553870720 in words is "eleven billion, five hundred fifty-three million, eight hundred seventy thousand, seven hundred twenty".