11729796000 has 384 divisors, whose sum is σ = 43826904576. Its totient is φ = 2716876800.

The previous prime is 11729795993. The next prime is 11729796011. The reversal of 11729796000 is 69792711.

It is a happy number.

It is a super-2 number, since 2×11729796000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2649789 + ... + 2654211.

It is an arithmetic number, because the mean of its divisors is an integer number (114132564).

Almost surely, 2^11729796000 is an apocalyptic number.

11729796000 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 11729796000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21913452288).

11729796000 is an abundant number, since it is smaller than the sum of its proper divisors (32097108576).

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

11729796000 is a wasteful number, since it uses less digits than its factorization.

11729796000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4481 (or 4463 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 42.

The spelling of 11729796000 in words is "eleven billion, seven hundred twenty-nine million, seven hundred ninety-six thousand".