11813201400 has 1152 divisors, whose sum is σ = 52935897600. Its totient is φ = 2108620800.

The previous prime is 11813201399. The next prime is 11813201423. The reversal of 11813201400 is 410231811.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 132732556 + ... + 132732644.

It is an arithmetic number, because the mean of its divisors is an integer number (45951300).

Almost surely, 2^11813201400 is an apocalyptic number.

11813201400 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 11813201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26467948800).

11813201400 is an abundant number, since it is smaller than the sum of its proper divisors (41122696200).

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

11813201400 is a wasteful number, since it uses less digits than its factorization.

11813201400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The spelling of 11813201400 in words is "eleven billion, eight hundred thirteen million, two hundred one thousand, four hundred".