11274634800 has 720 divisors, whose sum is σ = 46602288096. Its totient is φ = 2509056000.

The previous prime is 11274634781. The next prime is 11274634823. The reversal of 11274634800 is 843647211.

11274634800 is a `hidden beast` number, since 1 + 12 + 7 + 4 + 634 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62290710 + ... + 62290890.

Almost surely, 2^11274634800 is an apocalyptic number.

11274634800 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 11274634800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23301144048).

11274634800 is an abundant number, since it is smaller than the sum of its proper divisors (35327653296).

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

11274634800 is a wasteful number, since it uses less digits than its factorization.

11274634800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 11274634800 in words is "eleven billion, two hundred seventy-four million, six hundred thirty-four thousand, eight hundred".