12853200452080 has 320 divisors, whose sum is σ = 32196885696000. Its totient is φ = 4757233987584.

The previous prime is 12853200452063. The next prime is 12853200452101. The reversal of 12853200452080 is 8025400235821.

It is a super-2 number, since 2×12853200452080² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16331893447 + ... + 16331894233.

It is an arithmetic number, because the mean of its divisors is an integer number (100615267800).

Almost surely, 2^{12853200452080} is an apocalyptic number.

12853200452080 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 12853200452080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16098442848000).

12853200452080 is an abundant number, since it is smaller than the sum of its proper divisors (19343685243920).

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

12853200452080 is a wasteful number, since it uses less digits than its factorization.

12853200452080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The spelling of 12853200452080 in words is "twelve trillion, eight hundred fifty-three billion, two hundred million, four hundred fifty-two thousand, eighty".