853299674992128 has 3840 divisors, whose sum is σ = 3188387930112000. Its totient is φ = 201771777392640.

The previous prime is 853299674992117. The next prime is 853299674992139. The reversal of 853299674992128 is 821299476992358.

It is an interprime number because it is at equal distance from previous prime (853299674992117) and next prime (853299674992139).

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

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, 2779477768551 + ... + 2779477768857.

It is an arithmetic number, because the mean of its divisors is an integer number (830309356800).

Almost surely, 2^{853299674992128} 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 853299674992128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594193965056000).

853299674992128 is an abundant number, since it is smaller than the sum of its proper divisors (2335088255119872).

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

853299674992128 is a wasteful number, since it uses less digits than its factorization.

853299674992128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 435 counting only the distinct ones).

The product of its digits is 8465264640, while the sum is 84.

The spelling of 853299674992128 in words is "eight hundred fifty-three trillion, two hundred ninety-nine billion, six hundred seventy-four million, nine hundred ninety-two thousand, one hundred twenty-eight".