1077894273024 has 480 divisors, whose sum is σ = 3422720901600. Its totient is φ = 336801300480.

The previous prime is 1077894272999. The next prime is 1077894273037. The reversal of 1077894273024 is 4203724987701.

1077894273024 is a `hidden beast` number, since 107 + 7 + 89 + 427 + 30 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 877049242 + ... + 877050470.

It is an arithmetic number, because the mean of its divisors is an integer number (7130668545).

Almost surely, 2^{1077894273024} 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 1077894273024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711360450800).

1077894273024 is an abundant number, since it is smaller than the sum of its proper divisors (2344826628576).

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

1077894273024 is a wasteful number, since it uses less digits than its factorization.

1077894273024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 1077894273024 in words is "one trillion, seventy-seven billion, eight hundred ninety-four million, two hundred seventy-three thousand, twenty-four".