11853692928 has 680 divisors, whose sum is σ = 45675622080. Its totient is φ = 2972712960.

The previous prime is 11853692897. The next prime is 11853692971. The reversal of 11853692928 is 82929635811.

11853692928 is a `hidden beast` number, since 1 + 18 + 536 + 9 + 2 + 92 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 408748018 + ... + 408748046.

Almost surely, 2^11853692928 is an apocalyptic number.

11853692928 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 11853692928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22837811040).

11853692928 is an abundant number, since it is smaller than the sum of its proper divisors (33821929152).

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

11853692928 is an frugal number, since it uses more digits than its factorization.

11853692928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 52 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The spelling of 11853692928 in words is "eleven billion, eight hundred fifty-three million, six hundred ninety-two thousand, nine hundred twenty-eight".