1061827558080 has 224 divisors, whose sum is σ = 3413269393920. Its totient is φ = 279636910080.

The previous prime is 1061827558061. The next prime is 1061827558097. The reversal of 1061827558080 is 808557281601.

It is a super-2 number, since 2×1061827558080² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75778275 + ... + 75792285.

Almost surely, 2^{1061827558080} is an apocalyptic number.

1061827558080 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 1061827558080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706634696960).

1061827558080 is an abundant number, since it is smaller than the sum of its proper divisors (2351441835840).

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

1061827558080 is a wasteful number, since it uses less digits than its factorization.

1061827558080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15007 (or 14997 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 51.

The spelling of 1061827558080 in words is "one trillion, sixty-one billion, eight hundred twenty-seven million, five hundred fifty-eight thousand, eighty".