11272800000 has 864 divisors, whose sum is σ = 47519958528. Its totient is φ = 2304000000.

The previous prime is 11272799999. The next prime is 11272800037. The reversal of 11272800000 is 827211.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11272800000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 184799970 + ... + 184800030.

It is an arithmetic number, because the mean of its divisors is an integer number (54999952).

Almost surely, 2^11272800000 is an apocalyptic number.

11272800000 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 11272800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23759979264).

11272800000 is an abundant number, since it is smaller than the sum of its proper divisors (36247158528).

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

11272800000 is an frugal number, since it uses more digits than its factorization.

11272800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The spelling of 11272800000 in words is "eleven billion, two hundred seventy-two million, eight hundred thousand".