20162521312560 has 480 divisors, whose sum is σ = 78078722641920. Its totient is φ = 4611404390400.

The previous prime is 20162521312501. The next prime is 20162521312561. The reversal of 20162521312560 is 6521312526102.

20162521312560 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 2 + 521 + 3 + 125 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20162521312561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35987697 + ... + 36543663.

It is an arithmetic number, because the mean of its divisors is an integer number (162664005504).

Almost surely, 2^{20162521312560} is an apocalyptic number.

20162521312560 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 20162521312560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39039361320960).

20162521312560 is an abundant number, since it is smaller than the sum of its proper divisors (57916201329360).

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

20162521312560 is a wasteful number, since it uses less digits than its factorization.

20162521312560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556257 (or 556248 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 20162521312560 its reverse (6521312526102), we get a palindrome (26683833838662).

The spelling of 20162521312560 in words is "twenty trillion, one hundred sixty-two billion, five hundred twenty-one million, three hundred twelve thousand, five hundred sixty".