1077827158200 has 384 divisors, whose sum is σ = 3673414886400. Its totient is φ = 259822080000.

The previous prime is 1077827158189. The next prime is 1077827158207. The reversal of 1077827158200 is 28517287701.

It is a happy number.

It is a super-2 number, since 2×1077827158200² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1077827158200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077827158207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83617356 + ... + 83630244.

It is an arithmetic number, because the mean of its divisors is an integer number (9566184600).

Almost surely, 2^{1077827158200} is an apocalyptic number.

1077827158200 is a gapful number since it is divisible by the number (10) 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 1077827158200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836707443200).

1077827158200 is an abundant number, since it is smaller than the sum of its proper divisors (2595587728200).

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

1077827158200 is a wasteful number, since it uses less digits than its factorization.

1077827158200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13143 (or 13134 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 48.

The spelling of 1077827158200 in words is "one trillion, seventy-seven billion, eight hundred twenty-seven million, one hundred fifty-eight thousand, two hundred".