27896404765824 has 768 divisors, whose sum is σ = 99790789017600. Its totient is φ = 7641050941440.

The previous prime is 27896404765819. The next prime is 27896404765891. The reversal of 27896404765824 is 42856740469872.

27896404765824 is a `hidden beast` number, since 2 + 7 + 8 + 96 + 40 + 476 + 5 + 8 + 24 = 666.

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 95 ways as a sum of consecutive naturals, for example, 561689217 + ... + 561738879.

It is an arithmetic number, because the mean of its divisors is an integer number (129935923200).

Almost surely, 2^{27896404765824} is an apocalyptic number.

27896404765824 is a gapful number since it is divisible by the number (24) 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 27896404765824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49895394508800).

27896404765824 is an abundant number, since it is smaller than the sum of its proper divisors (71894384251776).

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

27896404765824 is a wasteful number, since it uses less digits than its factorization.

27896404765824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49838 (or 49813 counting only the distinct ones).

The product of its (nonzero) digits is 1300561920, while the sum is 72.

The spelling of 27896404765824 in words is "twenty-seven trillion, eight hundred ninety-six billion, four hundred four million, seven hundred sixty-five thousand, eight hundred twenty-four".