1087077146688 has 896 divisors, whose sum is σ = 3638726784000. Its totient is φ = 317917716480.

The previous prime is 1087077146647. The next prime is 1087077146741. The reversal of 1087077146688 is 8866417707801.

1087077146688 is a `hidden beast` number, since 10 + 87 + 0 + 7 + 7 + 1 + 466 + 88 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9973184778 + ... + 9973184886.

It is an arithmetic number, because the mean of its divisors is an integer number (4061079000).

Almost surely, 2^{1087077146688} is an apocalyptic number.

1087077146688 is a gapful number since it is divisible by the number (18) 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 1087077146688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819363392000).

1087077146688 is an abundant number, since it is smaller than the sum of its proper divisors (2551649637312).

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

1087077146688 is a wasteful number, since it uses less digits than its factorization.

1087077146688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 25288704, while the sum is 63.

The spelling of 1087077146688 in words is "one trillion, eighty-seven billion, seventy-seven million, one hundred forty-six thousand, six hundred eighty-eight".