11934668790 has 320 divisors, whose sum is σ = 36130406400. Its totient is φ = 2802159360.

The previous prime is 11934668761. The next prime is 11934668821. The reversal of 11934668790 is 9786643911.

11934668790 is a `hidden beast` number, since 1 + 1 + 93 + 466 + 8 + 7 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 59973111 + ... + 59973309.

It is an arithmetic number, because the mean of its divisors is an integer number (112907520).

Almost surely, 2^11934668790 is an apocalyptic number.

11934668790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11934668790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18065203200).

11934668790 is an abundant number, since it is smaller than the sum of its proper divisors (24195737610).

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

11934668790 is a wasteful number, since it uses less digits than its factorization.

11934668790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 11934668790 in words is "eleven billion, nine hundred thirty-four million, six hundred sixty-eight thousand, seven hundred ninety".