11070457920 has 672 divisors, whose sum is σ = 42603724800. Its totient is φ = 2727696384.

The previous prime is 11070457903. The next prime is 11070457933. The reversal of 11070457920 is 2975407011.

It is a happy number.

11070457920 is a `hidden beast` number, since 1 + 10 + 70 + 4 + 579 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87168897 + ... + 87169023.

It is an arithmetic number, because the mean of its divisors is an integer number (63398400).

Almost surely, 2^11070457920 is an apocalyptic number.

11070457920 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 11070457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21301862400).

11070457920 is an abundant number, since it is smaller than the sum of its proper divisors (31533266880).

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

11070457920 is a wasteful number, since it uses less digits than its factorization.

11070457920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 11070457920 in words is "eleven billion, seventy million, four hundred fifty-seven thousand, nine hundred twenty".