11835206976 has 112 divisors (see below), whose sum is σ = 32356153728. Its totient is φ = 3815884800.

The previous prime is 11835206947. The next prime is 11835207017. The reversal of 11835206976 is 67960253811.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 714306 + ... + 730686.

Almost surely, 2^11835206976 is an apocalyptic number.

11835206976 is a gapful number since it is divisible by the number (16) 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 11835206976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16178076864).

11835206976 is an abundant number, since it is smaller than the sum of its proper divisors (20520946752).

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

11835206976 is a wasteful number, since it uses less digits than its factorization.

11835206976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16520 (or 16510 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 11835206976 in words is "eleven billion, eight hundred thirty-five million, two hundred six thousand, nine hundred seventy-six".