11938298400 has 864 divisors, whose sum is σ = 51684691968. Its totient is φ = 2631398400.

The previous prime is 11938298371. The next prime is 11938298401. The reversal of 11938298400 is 489283911.

11938298400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11938298401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42184659 + ... + 42184941.

Almost surely, 2^11938298400 is an apocalyptic number.

11938298400 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 11938298400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25842345984).

11938298400 is an abundant number, since it is smaller than the sum of its proper divisors (39746393568).

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

11938298400 is a wasteful number, since it uses less digits than its factorization.

11938298400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 11938298400 in words is "eleven billion, nine hundred thirty-eight million, two hundred ninety-eight thousand, four hundred".