20142571397760 has 448 divisors, whose sum is σ = 82510842113280. Its totient is φ = 4604015572992.

The previous prime is 20142571397759. The next prime is 20142571397797. The reversal of 20142571397760 is 6779317524102.

20142571397760 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 2 + 571 + 3 + 9 + 7 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 20142571397697 and 20142571397706.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 182169 + ... + 6349671.

It is an arithmetic number, because the mean of its divisors is an integer number (184175986860).

Almost surely, 2^{20142571397760} is an apocalyptic number.

20142571397760 is a gapful number since it is divisible by the number (20) 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 20142571397760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41255421056640).

20142571397760 is an abundant number, since it is smaller than the sum of its proper divisors (62368270715520).

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

20142571397760 is an frugal number, since it uses more digits than its factorization.

20142571397760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6167547 (or 6167520 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 20142571397760 in words is "twenty trillion, one hundred forty-two billion, five hundred seventy-one million, three hundred ninety-seven thousand, seven hundred sixty".