8142127257600 has 2160 divisors, whose sum is σ = 35511888812400. Its totient is φ = 1838251376640.

The previous prime is 8142127257557. The next prime is 8142127257709. The reversal of 8142127257600 is 67527212418.

8142127257600 is a `hidden beast` number, since 8 + 1 + 4 + 2 + 1 + 2 + 72 + 576 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 20930918206 + ... + 20930918594.

It is an arithmetic number, because the mean of its divisors is an integer number (16440689265).

Almost surely, 2^{8142127257600} is an apocalyptic number.

8142127257600 is a gapful number since it is divisible by the number (80) 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 8142127257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17755944406200).

8142127257600 is an abundant number, since it is smaller than the sum of its proper divisors (27369761554800).

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

8142127257600 is a wasteful number, since it uses less digits than its factorization.

8142127257600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 8142127257600 in words is "eight trillion, one hundred forty-two billion, one hundred twenty-seven million, two hundred fifty-seven thousand, six hundred".