1009853255880 has 1536 divisors, whose sum is σ = 4215943987200. Its totient is φ = 213983078400.

The previous prime is 1009853255869. The next prime is 1009853255909. The reversal of 1009853255880 is 885523589001.

It is a happy number.

1009853255880 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 8 + 5 + 3 + 2 + 558 + 80 = 666.

It is a super-2 number, since 2×1009853255880² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7708803415 + ... + 7708803545.

It is an arithmetic number, because the mean of its divisors is an integer number (2744755200).

Almost surely, 2^{1009853255880} is an apocalyptic number.

1009853255880 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 1009853255880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107971993600).

1009853255880 is an abundant number, since it is smaller than the sum of its proper divisors (3206090731320).

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

1009853255880 is a wasteful number, since it uses less digits than its factorization.

1009853255880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 54.

The spelling of 1009853255880 in words is "one trillion, nine billion, eight hundred fifty-three million, two hundred fifty-five thousand, eight hundred eighty".