11452855680 has 640 divisors, whose sum is σ = 48062710080. Its totient is φ = 2544058368.

The previous prime is 11452855639. The next prime is 11452855699. The reversal of 11452855680 is 8655825411.

11452855680 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 2 + 85 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 79 ways as a sum of consecutive naturals, for example, 13426134 + ... + 13426986.

Almost surely, 2^11452855680 is an apocalyptic number.

11452855680 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 11452855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24031355040).

11452855680 is an abundant number, since it is smaller than the sum of its proper divisors (36609854400).

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

11452855680 is an equidigital number, since it uses as much as digits as its factorization.

11452855680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 11452855680 in words is "eleven billion, four hundred fifty-two million, eight hundred fifty-five thousand, six hundred eighty".