11840039975280 has 320 divisors, whose sum is σ = 40114141816320. Its totient is φ = 2865066086400.

The previous prime is 11840039975263. The next prime is 11840039975303. The reversal of 11840039975280 is 8257993004811.

It is a super-2 number, since 2×11840039975280² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11840039975280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6537845575 + ... + 6537847385.

It is an arithmetic number, because the mean of its divisors is an integer number (125356693176).

Almost surely, 2^{11840039975280} is an apocalyptic number.

11840039975280 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 11840039975280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20057070908160).

11840039975280 is an abundant number, since it is smaller than the sum of its proper divisors (28274101841040).

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

11840039975280 is a wasteful number, since it uses less digits than its factorization.

11840039975280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5000 (or 4994 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 57.

The spelling of 11840039975280 in words is "eleven trillion, eight hundred forty billion, thirty-nine million, nine hundred seventy-five thousand, two hundred eighty".