20042290288800 has 864 divisors, whose sum is σ = 79574406912000. Its totient is φ = 4718719272960.

The previous prime is 20042290288697. The next prime is 20042290288819. The reversal of 20042290288800 is 888209224002.

20042290288800 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 2 + 290 + 288 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1138822401 + ... + 1138839999.

It is an arithmetic number, because the mean of its divisors is an integer number (92100008000).

Almost surely, 2^{20042290288800} is an apocalyptic number.

20042290288800 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 20042290288800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39787203456000).

20042290288800 is an abundant number, since it is smaller than the sum of its proper divisors (59532116623200).

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

20042290288800 is a wasteful number, since it uses less digits than its factorization.

20042290288800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17707 (or 17645 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 20042290288800 in words is "twenty trillion, forty-two billion, two hundred ninety million, two hundred eighty-eight thousand, eight hundred".