27413530372800 has 2016 divisors, whose sum is σ = 116979277222080. Its totient is φ = 6001459200000.

The previous prime is 27413530372757. The next prime is 27413530372831. The reversal of 27413530372800 is 827303531472.

It is a happy number.

27413530372800 is a `hidden beast` number, since 2 + 7 + 4 + 1 + 3 + 530 + 37 + 2 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18510148060 + ... + 18510149540.

It is an arithmetic number, because the mean of its divisors is an integer number (58025435130).

Almost surely, 2^{27413530372800} is an apocalyptic number.

27413530372800 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 27413530372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58489638611040).

27413530372800 is an abundant number, since it is smaller than the sum of its proper divisors (89565746849280).

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

27413530372800 is a wasteful number, since it uses less digits than its factorization.

27413530372800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 27413530372800 in words is "twenty-seven trillion, four hundred thirteen billion, five hundred thirty million, three hundred seventy-two thousand, eight hundred".