11833949820 has 288 divisors, whose sum is σ = 42476990976. Its totient is φ = 2433984000.

The previous prime is 11833949783. The next prime is 11833949821. The reversal of 11833949820 is 2894933811.

It is a self number, because there is not a number n which added to its sum of digits gives 11833949820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11833949821) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3264529 + ... + 3268151.

It is an arithmetic number, because the mean of its divisors is an integer number (147489552).

Almost surely, 2^11833949820 is an apocalyptic number.

11833949820 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 11833949820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21238495488).

11833949820 is an abundant number, since it is smaller than the sum of its proper divisors (30643041156).

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

11833949820 is a wasteful number, since it uses less digits than its factorization.

11833949820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3761 (or 3752 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 11833949820 in words is "eleven billion, eight hundred thirty-three million, nine hundred forty-nine thousand, eight hundred twenty".