20724312432810 has 384 divisors, whose sum is σ = 63522676998144. Its totient is φ = 4295138641920.

The previous prime is 20724312432809. The next prime is 20724312432823. The reversal of 20724312432810 is 1823421342702.

It is a super-2 number, since 2×20724312432810² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 172695889 + ... + 172815851.

It is an arithmetic number, because the mean of its divisors is an integer number (165423638016).

Almost surely, 2^{20724312432810} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20724312432810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31761338499072).

20724312432810 is an abundant number, since it is smaller than the sum of its proper divisors (42798364565334).

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

20724312432810 is a wasteful number, since it uses less digits than its factorization.

20724312432810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120258 (or 120251 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 20724312432810 in words is "twenty trillion, seven hundred twenty-four billion, three hundred twelve million, four hundred thirty-two thousand, eight hundred ten".