20054519220240 has 280 divisors, whose sum is σ = 70600336532568. Its totient is φ = 5294921011200.

The previous prime is 20054519220227. The next prime is 20054519220287. The reversal of 20054519220240 is 4202291545002.

20054519220240 is a `hidden beast` number, since 2 + 0 + 0 + 545 + 1 + 92 + 2 + 0 + 24 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13082891552784 + 6971627667456 = 3617028^2 + 2640384^2 .

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 = 20054519220195 and 20054519220204.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4187992 + ... + 7592648.

Almost surely, 2^{20054519220240} is an apocalyptic number.

20054519220240 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 20054519220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35300168266284).

20054519220240 is an abundant number, since it is smaller than the sum of its proper divisors (50545817312328).

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

20054519220240 is a wasteful number, since it uses less digits than its factorization.

20054519220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3404789 (or 3404768 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 20054519220240 in words is "twenty trillion, fifty-four billion, five hundred nineteen million, two hundred twenty thousand, two hundred forty".