11505253440 has 56 divisors (see below), whose sum is σ = 36529182720. Its totient is φ = 3068067328.

The previous prime is 11505253427. The next prime is 11505253457. The reversal of 11505253440 is 4435250511.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11505253398 and 11505253407.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5991360 + ... + 5993279.

Almost surely, 2^11505253440 is an apocalyptic number.

11505253440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11505253440 is an abundant number, since it is smaller than the sum of its proper divisors (25023929280).

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

11505253440 is a wasteful number, since it uses less digits than its factorization.

11505253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11984659 (or 11984649 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 11505253440 in words is "eleven billion, five hundred five million, two hundred fifty-three thousand, four hundred forty".