20642853120 has 144 divisors (see below), whose sum is σ = 66411031680. Its totient is φ = 5464440832.

The previous prime is 20642853083. The next prime is 20642853131. The reversal of 20642853120 is 2135824602.

It is a super-2 number, since 2×20642853120² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 506461 + ... + 545699.

It is an arithmetic number, because the mean of its divisors is an integer number (461187720).

Almost surely, 2^20642853120 is an apocalyptic number.

20642853120 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 20642853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33205515840).

20642853120 is an abundant number, since it is smaller than the sum of its proper divisors (45768178560).

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

20642853120 is a wasteful number, since it uses less digits than its factorization.

20642853120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39400 (or 39386 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 20642853120 in words is "twenty billion, six hundred forty-two million, eight hundred fifty-three thousand, one hundred twenty".