11273782800 has 360 divisors, whose sum is σ = 42419308800. Its totient is φ = 2551772160.

The previous prime is 11273782777. The next prime is 11273782823. The reversal of 11273782800 is 828737211.

It is an interprime number because it is at equal distance from previous prime (11273782777) and next prime (11273782823).

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, 6408321 + ... + 6410079.

Almost surely, 2^11273782800 is an apocalyptic number.

11273782800 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 11273782800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21209654400).

11273782800 is an abundant number, since it is smaller than the sum of its proper divisors (31145526000).

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

11273782800 is a wasteful number, since it uses less digits than its factorization.

11273782800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The spelling of 11273782800 in words is "eleven billion, two hundred seventy-three million, seven hundred eighty-two thousand, eight hundred".