11538253578240 has 1280 divisors, whose sum is σ = 44190827208000. Its totient is φ = 2870111895552.

The previous prime is 11538253578233. The next prime is 11538253578251. The reversal of 11538253578240 is 4287535283511.

11538253578240 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 8 + 25 + 3 + 578 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44895928192 + ... + 44895928448.

Almost surely, 2^{11538253578240} is an apocalyptic number.

11538253578240 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 11538253578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22095413604000).

11538253578240 is an abundant number, since it is smaller than the sum of its proper divisors (32652573629760).

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

11538253578240 is an equidigital number, since it uses as much as digits as its factorization.

11538253578240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 11538253578240 in words is "eleven trillion, five hundred thirty-eight billion, two hundred fifty-three million, five hundred seventy-eight thousand, two hundred forty".