11761691400 has 384 divisors, whose sum is σ = 44290022400. Its totient is φ = 2856038400.

The previous prime is 11761691399. The next prime is 11761691407. The reversal of 11761691400 is 419616711.

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

It is not an unprimeable number, because it can be changed into a prime (11761691407) 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, 2843734 + ... + 2847866.

It is an arithmetic number, because the mean of its divisors is an integer number (115338600).

Almost surely, 2^11761691400 is an apocalyptic number.

11761691400 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 11761691400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22145011200).

11761691400 is an abundant number, since it is smaller than the sum of its proper divisors (32528331000).

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

11761691400 is a wasteful number, since it uses less digits than its factorization.

11761691400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4206 (or 4191 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 11761691400 in words is "eleven billion, seven hundred sixty-one million, six hundred ninety-one thousand, four hundred".