11253924864 has 792 divisors, whose sum is σ = 42810925248. Its totient is φ = 2926264320.

The previous prime is 11253924841. The next prime is 11253924889. The reversal of 11253924864 is 46842935211.

11253924864 is a `hidden beast` number, since 1 + 12 + 539 + 2 + 48 + 64 = 666.

Its product of digits (414720) is a multiple of the sum of its prime divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 158505949 + ... + 158506019.

Almost surely, 2^11253924864 is an apocalyptic number.

11253924864 is a gapful number since it is divisible by the number (14) 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 11253924864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21405462624).

11253924864 is an abundant number, since it is smaller than the sum of its proper divisors (31557000384).

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

11253924864 is an equidigital number, since it uses as much as digits as its factorization.

11253924864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 96 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

It can be divided in two parts, 1125392 and 4864, that added together give a triangular number (1130256 = T₁₅₀₃).

The spelling of 11253924864 in words is "eleven billion, two hundred fifty-three million, nine hundred twenty-four thousand, eight hundred sixty-four".