20212505424 has 150 divisors (see below), whose sum is σ = 60452578890. Its totient is φ = 6519761280.

The previous prime is 20212505407. The next prime is 20212505437. The reversal of 20212505424 is 42450521202.

20212505424 is a `hidden beast` number, since 20 + 212 + 5 + 0 + 5 + 424 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20087959824 + 124545600 = 141732^2 + 11160^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1237342 + ... + 1253570.

Almost surely, 2^20212505424 is an apocalyptic number.

20212505424 is a gapful number since it is divisible by the number (24) 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 20212505424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30226289445).

20212505424 is an abundant number, since it is smaller than the sum of its proper divisors (40240073466).

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

20212505424 is a wasteful number, since it uses less digits than its factorization.

20212505424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16311 (or 16265 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The spelling of 20212505424 in words is "twenty billion, two hundred twelve million, five hundred five thousand, four hundred twenty-four".