11972322880 has 336 divisors, whose sum is σ = 34759361520. Its totient is φ = 3911319552.

The previous prime is 11972322863. The next prime is 11972322881. The reversal of 11972322880 is 8822327911.

It can be written as a sum of positive squares in 8 ways, for example, as 3205371456 + 8766951424 = 56616^2 + 93632^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11972322881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51383244 + ... + 51383476.

Almost surely, 2^11972322880 is an apocalyptic number.

11972322880 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 11972322880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17379680760).

11972322880 is an abundant number, since it is smaller than the sum of its proper divisors (22787038640).

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

11972322880 is a wasteful number, since it uses less digits than its factorization.

11972322880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The spelling of 11972322880 in words is "eleven billion, nine hundred seventy-two million, three hundred twenty-two thousand, eight hundred eighty".