20535342147360 has 960 divisors, whose sum is σ = 77775383347200. Its totient is φ = 5087556864000.

The previous prime is 20535342147269. The next prime is 20535342147361. The reversal of 20535342147360 is 6374124353502.

It is a happy number.

20535342147360 is a `hidden beast` number, since 2 + 0 + 53 + 53 + 4 + 21 + 473 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20535342147361) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2937393465 + ... + 2937400455.

It is an arithmetic number, because the mean of its divisors is an integer number (81016024320).

Almost surely, 2^{20535342147360} is an apocalyptic number.

20535342147360 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 20535342147360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38887691673600).

20535342147360 is an abundant number, since it is smaller than the sum of its proper divisors (57240041199840).

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

20535342147360 is a wasteful number, since it uses less digits than its factorization.

20535342147360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7267 (or 7250 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 20535342147360 in words is "twenty trillion, five hundred thirty-five billion, three hundred forty-two million, one hundred forty-seven thousand, three hundred sixty".