11825302272 has 288 divisors, whose sum is σ = 38908864512. Its totient is φ = 3111124992.

The previous prime is 11825302261. The next prime is 11825302297. The reversal of 11825302272 is 27220352811.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4294048 + ... + 4296800.

It is an arithmetic number, because the mean of its divisors is an integer number (135100224).

Almost surely, 2^11825302272 is an apocalyptic number.

11825302272 is a gapful number since it is divisible by the number (12) 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 11825302272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19454432256).

11825302272 is an abundant number, since it is smaller than the sum of its proper divisors (27083562240).

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

11825302272 is a wasteful number, since it uses less digits than its factorization.

11825302272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2843 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 11825302272 in words is "eleven billion, eight hundred twenty-five million, three hundred two thousand, two hundred seventy-two".