11272896122880 has 832 divisors, whose sum is σ = 44246346674688. Its totient is φ = 2391759912960.

The previous prime is 11272896122867. The next prime is 11272896122899. The reversal of 11272896122880 is 8822169827211.

It is a self number, because there is not a number n which added to its sum of digits gives 11272896122880.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 533718720 + ... + 533739840.

Almost surely, 2^{11272896122880} is an apocalyptic number.

11272896122880 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 11272896122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22123173337344).

11272896122880 is an abundant number, since it is smaller than the sum of its proper divisors (32973450551808).

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

11272896122880 is a wasteful number, since it uses less digits than its factorization.

11272896122880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21250 (or 21228 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 57.

The spelling of 11272896122880 in words is "eleven trillion, two hundred seventy-two billion, eight hundred ninety-six million, one hundred twenty-two thousand, eight hundred eighty".