11452970880 has 384 divisors, whose sum is σ = 43593469920. Its totient is φ = 2752856064.

The previous prime is 11452970849. The next prime is 11452970887. The reversal of 11452970880 is 8807925411.

11452970880 is a `hidden beast` number, since 114 + 529 + 7 + 0 + 8 + 8 + 0 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11452970887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3218062 + ... + 3221618.

Almost surely, 2^11452970880 is an apocalyptic number.

11452970880 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 11452970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21796734960).

11452970880 is an abundant number, since it is smaller than the sum of its proper divisors (32140499040).

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

11452970880 is a wasteful number, since it uses less digits than its factorization.

11452970880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3638 (or 3623 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 11452970880 in words is "eleven billion, four hundred fifty-two million, nine hundred seventy thousand, eight hundred eighty".