11957535828 has 144 divisors (see below), whose sum is σ = 36009011584. Its totient is φ = 3274318080.

The previous prime is 11957535823. The next prime is 11957535857. The reversal of 11957535828 is 82853575911.

11957535828 is a `hidden beast` number, since 1 + 1 + 9 + 5 + 7 + 53 + 582 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11957535823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 615138 + ... + 634278.

Almost surely, 2^11957535828 is an apocalyptic number.

11957535828 is a gapful number since it is divisible by the number (18) 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 11957535828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18004505792).

11957535828 is an abundant number, since it is smaller than the sum of its proper divisors (24051475756).

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

11957535828 is a wasteful number, since it uses less digits than its factorization.

11957535828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19262 (or 19257 counting only the distinct ones).

The product of its digits is 3024000, while the sum is 54.

It can be divided in two parts, 119575 and 35828, that added together give a triangular number (155403 = T₅₅₇).

The spelling of 11957535828 in words is "eleven billion, nine hundred fifty-seven million, five hundred thirty-five thousand, eight hundred twenty-eight".