11930938400 has 72 divisors (see below), whose sum is σ = 29255158800. Its totient is φ = 4751279360.

The previous prime is 11930938367. The next prime is 11930938427. The reversal of 11930938400 is 483903911.

It is a happy number.

It is a super-2 number, since 2×11930938400² (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 11 ways as a sum of consecutive naturals, for example, 148751 + ... + 214449.

It is an arithmetic number, because the mean of its divisors is an integer number (406321650).

Almost surely, 2^11930938400 is an apocalyptic number.

11930938400 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 11930938400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14627579400).

11930938400 is an abundant number, since it is smaller than the sum of its proper divisors (17324220400).

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

11930938400 is a wasteful number, since it uses less digits than its factorization.

11930938400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65946 (or 65933 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The spelling of 11930938400 in words is "eleven billion, nine hundred thirty million, nine hundred thirty-eight thousand, four hundred".