1031087890008 has 384 divisors, whose sum is σ = 3285440870400. Its totient is φ = 288652492800.

The previous prime is 1031087889859. The next prime is 1031087890061. The reversal of 1031087890008 is 8000987801301.

It is a super-2 number, since 2×1031087890008² (a number of 25 digits) contains 22 as substring.

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, 228468360 + ... + 228472872.

It is an arithmetic number, because the mean of its divisors is an integer number (8555835600).

Almost surely, 2^{1031087890008} is an apocalyptic number.

1031087890008 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 1031087890008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642720435200).

1031087890008 is an abundant number, since it is smaller than the sum of its proper divisors (2254352980392).

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

1031087890008 is a wasteful number, since it uses less digits than its factorization.

1031087890008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4863 (or 4856 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 1031087890008 in words is "one trillion, thirty-one billion, eighty-seven million, eight hundred ninety thousand, eight".