12858827101440 has 288 divisors, whose sum is σ = 44623849267200. Its totient is φ = 3143753441280.

The previous prime is 12858827101429. The next prime is 12858827101441. The reversal of 12858827101440 is 4410172885821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12858827101441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 580900 + ... + 5104419.

Almost surely, 2^{12858827101440} is an apocalyptic number.

12858827101440 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 12858827101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22311924633600).

12858827101440 is an abundant number, since it is smaller than the sum of its proper divisors (31765022165760).

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

12858827101440 is a wasteful number, since it uses less digits than its factorization.

12858827101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5685393 (or 5685379 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 51.

The spelling of 12858827101440 in words is "twelve trillion, eight hundred fifty-eight billion, eight hundred twenty-seven million, one hundred one thousand, four hundred forty".