1009053810688 has 360 divisors, whose sum is σ = 2580321036384. Its totient is φ = 390168576000.

The previous prime is 1009053810671. The next prime is 1009053810691. The reversal of 1009053810688 is 8860183509001.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1439448738 + ... + 1439449438.

Almost surely, 2^{1009053810688} 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 1009053810688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290160518192).

1009053810688 is an abundant number, since it is smaller than the sum of its proper divisors (1571267225696).

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

1009053810688 is an equidigital number, since it uses as much as digits as its factorization.

1009053810688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 49.

The spelling of 1009053810688 in words is "one trillion, nine billion, fifty-three million, eight hundred ten thousand, six hundred eighty-eight".