11928401280 has 256 divisors, whose sum is σ = 42881126400. Its totient is φ = 3133126656.

The previous prime is 11928401269. The next prime is 11928401291. The reversal of 11928401280 is 8210482911.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11928401269) and next prime (11928401291).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1152609 + ... + 1162911.

It is an arithmetic number, because the mean of its divisors is an integer number (167504400).

Almost surely, 2^11928401280 is an apocalyptic number.

11928401280 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 11928401280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21440563200).

11928401280 is an abundant number, since it is smaller than the sum of its proper divisors (30952725120).

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

11928401280 is a wasteful number, since it uses less digits than its factorization.

11928401280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10398 (or 10380 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 11928401280 in words is "eleven billion, nine hundred twenty-eight million, four hundred one thousand, two hundred eighty".