1087088073120 has 432 divisors, whose sum is σ = 4374486534600. Its totient is φ = 245072314368.

The previous prime is 1087088073109. The next prime is 1087088073167. The reversal of 1087088073120 is 213708807801.

It can be written as a sum of positive squares in 4 ways, for example, as 658571202576 + 428516870544 = 811524^2 + 654612^2 .

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 71 ways as a sum of consecutive naturals, for example, 5045356 + ... + 5256404.

Almost surely, 2^{1087088073120} is an apocalyptic number.

1087088073120 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 1087088073120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187243267300).

1087088073120 is an abundant number, since it is smaller than the sum of its proper divisors (3287398461480).

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

1087088073120 is a wasteful number, since it uses less digits than its factorization.

1087088073120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211157 (or 211139 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 1087088073120 in words is "one trillion, eighty-seven billion, eighty-eight million, seventy-three thousand, one hundred twenty".