11213650274400 has 324 divisors, whose sum is σ = 45997994385252. Its totient is φ = 2563119982080.

The previous prime is 11213650274383. The next prime is 11213650274429. The reversal of 11213650274400 is 447205631211.

11213650274400 is a `hidden beast` number, since 1 + 1 + 2 + 136 + 50 + 2 + 74 + 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 53 ways as a sum of consecutive naturals, for example, 15539562 + ... + 16245161.

It is an arithmetic number, because the mean of its divisors is an integer number (141969118473).

Almost surely, 2^{11213650274400} is an apocalyptic number.

11213650274400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11213650274400 is an abundant number, since it is smaller than the sum of its proper divisors (34784344110852).

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

11213650274400 is a wasteful number, since it uses less digits than its factorization.

11213650274400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31784763 (or 31784740 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 11213650274400 in words is "eleven trillion, two hundred thirteen billion, six hundred fifty million, two hundred seventy-four thousand, four hundred".