20042488960 has 192 divisors, whose sum is σ = 54466647480. Its totient is φ = 7009763328.

The previous prime is 20042488933. The next prime is 20042488987. The reversal of 20042488960 is 6988424002.

It is an interprime number because it is at equal distance from previous prime (20042488933) and next prime (20042488987).

It can be written as a sum of positive squares in 4 ways, for example, as 6662477376 + 13380011584 = 81624^2 + 115672^2 .

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3000184 + ... + 3006856.

Almost surely, 2^20042488960 is an apocalyptic number.

20042488960 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 20042488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27233323740).

20042488960 is an abundant number, since it is smaller than the sum of its proper divisors (34424158520).

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

20042488960 is a wasteful number, since it uses less digits than its factorization.

20042488960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6743 (or 6712 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The spelling of 20042488960 in words is "twenty billion, forty-two million, four hundred eighty-eight thousand, nine hundred sixty".