11835452160 has 864 divisors, whose sum is σ = 50750884800. Its totient is φ = 2601123840.

The previous prime is 11835452117. The next prime is 11835452179. The reversal of 11835452160 is 6125453811.

11835452160 is a `hidden beast` number, since 1 + 1 + 83 + 54 + 521 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49109640 + ... + 49109880.

It is an arithmetic number, because the mean of its divisors is an integer number (58739450).

Almost surely, 2^11835452160 is an apocalyptic number.

11835452160 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 11835452160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25375442400).

11835452160 is an abundant number, since it is smaller than the sum of its proper divisors (38915432640).

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

11835452160 is a wasteful number, since it uses less digits than its factorization.

11835452160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 11835452160 in words is "eleven billion, eight hundred thirty-five million, four hundred fifty-two thousand, one hundred sixty".