11680129400 has 96 divisors (see below), whose sum is σ = 27760611600. Its totient is φ = 4568678400.

The previous prime is 11680129397. The next prime is 11680129423. The reversal of 11680129400 is 492108611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3506936 + ... + 3510264.

Almost surely, 2^11680129400 is an apocalyptic number.

11680129400 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 11680129400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13880305800).

11680129400 is an abundant number, since it is smaller than the sum of its proper divisors (16080482200).

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

11680129400 is a wasteful number, since it uses less digits than its factorization.

11680129400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3729 (or 3720 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The spelling of 11680129400 in words is "eleven billion, six hundred eighty million, one hundred twenty-nine thousand, four hundred".