20055198240 has 1512 divisors, whose sum is σ = 93963614220. Its totient is φ = 4023613440.

The previous prime is 20055198227. The next prime is 20055198259. The reversal of 20055198240 is 4289155002.

20055198240 is a `hidden beast` number, since 20 + 0 + 5 + 519 + 82 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19986042384 + 69155856 = 141372^2 + 8316^2 .

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20055198195 and 20055198204.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 691558546 + ... + 691558574.

Almost surely, 2^20055198240 is an apocalyptic number.

20055198240 is a gapful number since it is divisible by the number (20) 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 20055198240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46981807110).

20055198240 is an abundant number, since it is smaller than the sum of its proper divisors (73908415980).

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

20055198240 is a wasteful number, since it uses less digits than its factorization.

20055198240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 20055198240 in words is "twenty billion, fifty-five million, one hundred ninety-eight thousand, two hundred forty".