20510133072 has 720 divisors, whose sum is σ = 72397241280. Its totient is φ = 4939038720.

The previous prime is 20510133047. The next prime is 20510133179. The reversal of 20510133072 is 27033101502.

It is a super-2 number, since 2×20510133072² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 707245954 + ... + 707245982.

It is an arithmetic number, because the mean of its divisors is an integer number (100551724).

Almost surely, 2^20510133072 is an apocalyptic number.

20510133072 is a gapful number since it is divisible by the number (22) 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 20510133072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36198620640).

20510133072 is an abundant number, since it is smaller than the sum of its proper divisors (51887108208).

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

20510133072 is a wasteful number, since it uses less digits than its factorization.

20510133072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

Adding to 20510133072 its reverse (27033101502), we get a palindrome (47543234574).

The spelling of 20510133072 in words is "twenty billion, five hundred ten million, one hundred thirty-three thousand, seventy-two".