11496038400 has 1176 divisors, whose sum is σ = 53290098144. Its totient is φ = 2388787200.

The previous prime is 11496038399. The next prime is 11496038413. The reversal of 11496038400 is 483069411.

It is a Jordan-Polya number, since it can be written as 12! ⋅ 4!.

11496038400 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 603 + 8 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1045094395 + ... + 1045094405.

Almost surely, 2^11496038400 is an apocalyptic number.

11496038400 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 11496038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26645049072).

11496038400 is an abundant number, since it is smaller than the sum of its proper divisors (41794059744).

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

11496038400 is an frugal number, since it uses more digits than its factorization.

11496038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 11496038400 in words is "eleven billion, four hundred ninety-six million, thirty-eight thousand, four hundred".