1027087810560 has 480 divisors, whose sum is σ = 4173498712320. Its totient is φ = 234759389184.

The previous prime is 1027087810531. The next prime is 1027087810579. The reversal of 1027087810560 is 650187807201.

It is a happy number.

1027087810560 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 0 + 8 + 7 + 81 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 15449712 + ... + 15516048.

It is an arithmetic number, because the mean of its divisors is an integer number (8694788984).

Almost surely, 2^{1027087810560} is an apocalyptic number.

1027087810560 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 1027087810560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2086749356160).

1027087810560 is an abundant number, since it is smaller than the sum of its proper divisors (3146410901760).

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

1027087810560 is an frugal number, since it uses more digits than its factorization.

1027087810560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66386 (or 66354 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 1027087810560 in words is "one trillion, twenty-seven billion, eighty-seven million, eight hundred ten thousand, five hundred sixty".