11874401280 has 528 divisors, whose sum is σ = 49117191840. Its totient is φ = 2712600576.

The previous prime is 11874401207. The next prime is 11874401299. The reversal of 11874401280 is 8210447811.

11874401280 is a `hidden beast` number, since 11 + 87 + 440 + 128 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 6772884 + ... + 6774636.

Almost surely, 2^11874401280 is an apocalyptic number.

11874401280 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 11874401280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24558595920).

11874401280 is an abundant number, since it is smaller than the sum of its proper divisors (37242790560).

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

11874401280 is a wasteful number, since it uses less digits than its factorization.

11874401280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 11874401280 in words is "eleven billion, eight hundred seventy-four million, four hundred one thousand, two hundred eighty".