27383874998400 has 1152 divisors, whose sum is σ = 106524022026240. Its totient is φ = 6677697945600.

The previous prime is 27383874998399. The next prime is 27383874998413. The reversal of 27383874998400 is 489947838372.

27383874998400 is a `hidden beast` number, since 2 + 7 + 38 + 38 + 74 + 9 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1704347167 + ... + 1704363233.

It is an arithmetic number, because the mean of its divisors is an integer number (92468769120).

Almost surely, 2^{27383874998400} is an apocalyptic number.

27383874998400 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 27383874998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53262011013120).

27383874998400 is an abundant number, since it is smaller than the sum of its proper divisors (79140147027840).

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

27383874998400 is a wasteful number, since it uses less digits than its factorization.

27383874998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16234 (or 16214 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 27383874998400 in words is "twenty-seven trillion, three hundred eighty-three billion, eight hundred seventy-four million, nine hundred ninety-eight thousand, four hundred".