11958101820 has 768 divisors, whose sum is σ = 47687270400. Its totient is φ = 2426112000.

The previous prime is 11958101809. The next prime is 11958101843. The reversal of 11958101820 is 2810185911.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 91283155 + ... + 91283285.

It is an arithmetic number, because the mean of its divisors is an integer number (62092800).

Almost surely, 2^11958101820 is an apocalyptic number.

11958101820 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 11958101820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23843635200).

11958101820 is an abundant number, since it is smaller than the sum of its proper divisors (35729168580).

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

11958101820 is a wasteful number, since it uses less digits than its factorization.

11958101820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 36.

The spelling of 11958101820 in words is "eleven billion, nine hundred fifty-eight million, one hundred one thousand, eight hundred twenty".