27938596484736 has 960 divisors, whose sum is σ = 100617018301800. Its totient is φ = 7663886254080.

The previous prime is 27938596484639. The next prime is 27938596484759. The reversal of 27938596484736 is 63748469583972.

27938596484736 is a `hidden beast` number, since 2 + 7 + 9 + 3 + 85 + 9 + 64 + 8 + 473 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19425879950400 + 8512716534336 = 4407480^2 + 2917656^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2666654730 + ... + 2666665206.

Almost surely, 2^{27938596484736} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27938596484736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50308509150900).

27938596484736 is an abundant number, since it is smaller than the sum of its proper divisors (72678421817064).

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

27938596484736 is a wasteful number, since it uses less digits than its factorization.

27938596484736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10727 (or 10699 counting only the distinct ones).

The product of its digits is 13168189440, while the sum is 81.

The spelling of 27938596484736 in words is "twenty-seven trillion, nine hundred thirty-eight billion, five hundred ninety-six million, four hundred eighty-four thousand, seven hundred thirty-six".