11213798400 has 792 divisors, whose sum is σ = 48704516640. Its totient is φ = 2406481920.

The previous prime is 11213798369. The next prime is 11213798413. The reversal of 11213798400 is 489731211.

It is a happy number.

11213798400 is a `hidden beast` number, since 112 + 137 + 9 + 8 + 400 = 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27417396 + ... + 27417804.

Almost surely, 2^11213798400 is an apocalyptic number.

11213798400 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 11213798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24352258320).

11213798400 is an abundant number, since it is smaller than the sum of its proper divisors (37490718240).

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

11213798400 is a wasteful number, since it uses less digits than its factorization.

11213798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11213798400 in words is "eleven billion, two hundred thirteen million, seven hundred ninety-eight thousand, four hundred".