290873782500080 has 160 divisors (see below), whose sum is σ = 729259720390656. Its totient is φ = 107258536092672.

The previous prime is 290873782500079. The next prime is 290873782500083. The reversal of 290873782500080 is 80005287378092.

It is a junction number, because it is equal to n+sod(n) for n = 290873782499992 and 290873782500019.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290873782500083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6859724159 + ... + 6859766561.

Almost surely, 2^{290873782500080} is an apocalyptic number.

290873782500080 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 290873782500080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364629860195328).

290873782500080 is an abundant number, since it is smaller than the sum of its proper divisors (438385937890576).

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

290873782500080 is a wasteful number, since it uses less digits than its factorization.

290873782500080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50935 (or 50929 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 59.

The spelling of 290873782500080 in words is "two hundred ninety trillion, eight hundred seventy-three billion, seven hundred eighty-two million, five hundred thousand, eighty".