1020769659360 has 960 divisors, whose sum is σ = 4263043587264. Its totient is φ = 227200204800.

The previous prime is 1020769659331. The next prime is 1020769659383. The reversal of 1020769659360 is 639569670201.

1020769659360 is a `hidden beast` number, since 10 + 207 + 6 + 9 + 65 + 9 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1020769659297 and 1020769659306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 99359184 + ... + 99369456.

Almost surely, 2^{1020769659360} is an apocalyptic number.

1020769659360 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 1020769659360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131521793632).

1020769659360 is an abundant number, since it is smaller than the sum of its proper divisors (3242273927904).

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

1020769659360 is a wasteful number, since it uses less digits than its factorization.

1020769659360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10369 (or 10352 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 1020769659360 in words is "one trillion, twenty billion, seven hundred sixty-nine million, six hundred fifty-nine thousand, three hundred sixty".