1039081800960 has 2592 divisors, whose sum is σ = 4809170620800. Its totient is φ = 205117194240.

The previous prime is 1039081800749. The next prime is 1039081801031. The reversal of 1039081800960 is 690081809301.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7475408571 + ... + 7475408709.

It is an arithmetic number, because the mean of its divisors is an integer number (1855389900).

Almost surely, 2^{1039081800960} is an apocalyptic number.

1039081800960 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 1039081800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404585310400).

1039081800960 is an abundant number, since it is smaller than the sum of its proper divisors (3770088819840).

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

1039081800960 is a wasteful number, since it uses less digits than its factorization.

1039081800960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 1039081800960 in words is "one trillion, thirty-nine billion, eighty-one million, eight hundred thousand, nine hundred sixty".