1087025431128 has 384 divisors, whose sum is σ = 3524580864000. Its totient is φ = 276623907840.

The previous prime is 1087025431117. The next prime is 1087025431171. The reversal of 1087025431128 is 8211345207801.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 1087025431128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 170136958 + ... + 170143346.

It is an arithmetic number, because the mean of its divisors is an integer number (9178596000).

Almost surely, 2^{1087025431128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1087025431128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762290432000).

1087025431128 is an abundant number, since it is smaller than the sum of its proper divisors (2437555432872).

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

1087025431128 is a wasteful number, since it uses less digits than its factorization.

1087025431128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6815 (or 6804 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

It can be divided in two parts, 1087025 and 431128, that added together give a triangular number (1518153 = T₁₇₄₂).

The spelling of 1087025431128 in words is "one trillion, eighty-seven billion, twenty-five million, four hundred thirty-one thousand, one hundred twenty-eight".