20929727250432 has 2880 divisors, whose sum is σ = 90684795801600. Its totient is φ = 4464165519360.

The previous prime is 20929727250407. The next prime is 20929727250461. The reversal of 20929727250432 is 23405272792902.

20929727250432 is a `hidden beast` number, since 2 + 0 + 9 + 2 + 97 + 2 + 72 + 50 + 432 = 666.

It is a congruent number.

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, 47675916069 + ... + 47675916507.

It is an arithmetic number, because the mean of its divisors is an integer number (31487776320).

Almost surely, 2^{20929727250432} is an apocalyptic number.

20929727250432 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 20929727250432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45342397900800).

20929727250432 is an abundant number, since it is smaller than the sum of its proper divisors (69755068551168).

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

20929727250432 is a wasteful number, since it uses less digits than its factorization.

20929727250432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 20929727250432 in words is "twenty trillion, nine hundred twenty-nine billion, seven hundred twenty-seven million, two hundred fifty thousand, four hundred thirty-two".