11893249440 has 120 divisors (see below), whose sum is σ = 41973305220. Its totient is φ = 3171529728.

The previous prime is 11893249439. The next prime is 11893249447. The reversal of 11893249440 is 4494239811.

11893249440 is a `hidden beast` number, since 1 + 189 + 3 + 24 + 9 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11874896784 + 18352656 = 108972^2 + 4284^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 (11893249447) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 445885 + ... + 471804.

Almost surely, 2^11893249440 is an apocalyptic number.

11893249440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11893249440 is an abundant number, since it is smaller than the sum of its proper divisors (30080055780).

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

11893249440 is an equidigital number, since it uses as much as digits as its factorization.

11893249440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917716 (or 917699 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 11893249440 in words is "eleven billion, eight hundred ninety-three million, two hundred forty-nine thousand, four hundred forty".