11496329400 has 96 divisors (see below), whose sum is σ = 35673431040. Its totient is φ = 3062693760.

The previous prime is 11496329393. The next prime is 11496329413. The reversal of 11496329400 is 492369411.

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, 643387 + ... + 661013.

It is an arithmetic number, because the mean of its divisors is an integer number (371598240).

Almost surely, 2^11496329400 is an apocalyptic number.

11496329400 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 11496329400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17836715520).

11496329400 is an abundant number, since it is smaller than the sum of its proper divisors (24177101640).

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

11496329400 is a wasteful number, since it uses less digits than its factorization.

11496329400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18733 (or 18724 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 11496329400 in words is "eleven billion, four hundred ninety-six million, three hundred twenty-nine thousand, four hundred".