11470970880 has 504 divisors, whose sum is σ = 42295073652. Its totient is φ = 2873622528.

The previous prime is 11470970867. The next prime is 11470970887. The reversal of 11470970880 is 8807907411.

11470970880 is a `hidden beast` number, since 11 + 470 + 97 + 0 + 8 + 80 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 7766544384 + 3704426496 = 88128^2 + 60864^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11470970887) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 310026222 + ... + 310026258.

Almost surely, 2^11470970880 is an apocalyptic number.

11470970880 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 11470970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21147536826).

11470970880 is an abundant number, since it is smaller than the sum of its proper divisors (30824102772).

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

11470970880 is an equidigital number, since it uses as much as digits as its factorization.

11470970880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 11470970880 in words is "eleven billion, four hundred seventy million, nine hundred seventy thousand, eight hundred eighty".