11968145280 has 1280 divisors, whose sum is σ = 54739238400. Its totient is φ = 2424619008.

The previous prime is 11968145261. The next prime is 11968145281. The reversal of 11968145280 is 8254186911.

It is a happy number.

11968145280 is a `hidden beast` number, since 1 + 196 + 8 + 1 + 452 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11968145281) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 202849891 + ... + 202849949.

It is an arithmetic number, because the mean of its divisors is an integer number (42765030).

Almost surely, 2^11968145280 is an apocalyptic number.

11968145280 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 11968145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27369619200).

11968145280 is an abundant number, since it is smaller than the sum of its proper divisors (42771093120).

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

11968145280 is a wasteful number, since it uses less digits than its factorization.

11968145280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 11968145280 in words is "eleven billion, nine hundred sixty-eight million, one hundred forty-five thousand, two hundred eighty".