1077688889856 has 240 divisors, whose sum is σ = 3259443480480. Its totient is φ = 351576483840.

The previous prime is 1077688889839. The next prime is 1077688889873. The reversal of 1077688889856 is 6589888867701.

It is an interprime number because it is at equal distance from previous prime (1077688889839) and next prime (1077688889873).

It is a super-2 number, since 2×1077688889856² (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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30519571 + ... + 30554861.

It is an arithmetic number, because the mean of its divisors is an integer number (13581014502).

Almost surely, 2^{1077688889856} is an apocalyptic number.

1077688889856 is a gapful number since it is divisible by the number (16) 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 1077688889856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629721740240).

1077688889856 is an abundant number, since it is smaller than the sum of its proper divisors (2181754590624).

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

1077688889856 is an frugal number, since it uses more digits than its factorization.

1077688889856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35412 (or 35343 counting only the distinct ones).

The product of its (nonzero) digits is 2601123840, while the sum is 81.

The spelling of 1077688889856 in words is "one trillion, seventy-seven billion, six hundred eighty-eight million, eight hundred eighty-nine thousand, eight hundred fifty-six".