11545285752 has 768 divisors, whose sum is σ = 46230912000. Its totient is φ = 2597806080.

The previous prime is 11545285733. The next prime is 11545285771. The reversal of 11545285752 is 25758254511.

It is a happy number.

11545285752 is a `hidden beast` number, since 1 + 1 + 54 + 5 + 28 + 575 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (11545285733) and next prime (11545285771).

It is a junction number, because it is equal to n+sod(n) for n = 11545285698 and 11545285707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33080874 + ... + 33081222.

It is an arithmetic number, because the mean of its divisors is an integer number (60196500).

Almost surely, 2^11545285752 is an apocalyptic number.

11545285752 is a gapful number since it is divisible by the number (12) 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 11545285752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23115456000).

11545285752 is an abundant number, since it is smaller than the sum of its proper divisors (34685626248).

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

11545285752 is a wasteful number, since it uses less digits than its factorization.

11545285752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 402 counting only the distinct ones).

The product of its digits is 560000, while the sum is 45.

The spelling of 11545285752 in words is "eleven billion, five hundred forty-five million, two hundred eighty-five thousand, seven hundred fifty-two".