27983715926400 has 2688 divisors, whose sum is σ = 118097922499200. Its totient is φ = 6499651092480.

The previous prime is 27983715926393. The next prime is 27983715926483. The reversal of 27983715926400 is 462951738972.

27983715926400 is a `hidden beast` number, since 2 + 7 + 9 + 8 + 37 + 1 + 592 + 6 + 4 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 41334882862 + ... + 41334883538.

It is an arithmetic number, because the mean of its divisors is an integer number (43935239025).

It is a 2-persistent number, because it is pandigital, and so is 2⋅27983715926400 = 55967431852800, but 3⋅27983715926400 = 83951147779200 is not.

Almost surely, 2^{27983715926400} is an apocalyptic number.

27983715926400 is a gapful number since it is divisible by the number (20) 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 27983715926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59048961249600).

27983715926400 is an abundant number, since it is smaller than the sum of its proper divisors (90114206572800).

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

27983715926400 is a wasteful number, since it uses less digits than its factorization.

27983715926400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 27983715926400 in words is "twenty-seven trillion, nine hundred eighty-three billion, seven hundred fifteen million, nine hundred twenty-six thousand, four hundred".