1078127292704 has 192 divisors, whose sum is σ = 2804412844800. Its totient is φ = 394997268480.

The previous prime is 1078127292677. The next prime is 1078127292757. The reversal of 1078127292704 is 4072927218701.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50967122 + ... + 50988270.

It is an arithmetic number, because the mean of its divisors is an integer number (14606316900).

Almost surely, 2^{1078127292704} is an apocalyptic number.

1078127292704 is a gapful number since it is divisible by the number (14) 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 1078127292704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402206422400).

1078127292704 is an abundant number, since it is smaller than the sum of its proper divisors (1726285552096).

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

1078127292704 is a wasteful number, since it uses less digits than its factorization.

1078127292704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22411 (or 22403 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 50.

The spelling of 1078127292704 in words is "one trillion, seventy-eight billion, one hundred twenty-seven million, two hundred ninety-two thousand, seven hundred four".