20506240000 has 165 divisors, whose sum is σ = 51511938247. Its totient is φ = 8156672000.

The previous prime is 20506239997. The next prime is 20506240043. The reversal of 20506240000 is 4260502.

The square root of 20506240000 is 143200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 1607689216 + 18898550784 = 40096^2 + 137472^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20506240000.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 114559911 + ... + 114560089.

Almost surely, 2^20506240000 is an apocalyptic number.

20506240000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20506240000 is the 143200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20506240000

20506240000 is an abundant number, since it is smaller than the sum of its proper divisors (31005698247).

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

20506240000 is an frugal number, since it uses more digits than its factorization.

20506240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The spelling of 20506240000 in words is "twenty billion, five hundred six million, two hundred forty thousand".