290113212960 has 144 divisors (see below), whose sum is σ = 990987903360. Its totient is φ = 77287211520.

The previous prime is 290113212947. The next prime is 290113212997. The reversal of 290113212960 is 69212311092.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1368505 + ... + 1566215.

It is an arithmetic number, because the mean of its divisors is an integer number (6881860440).

Almost surely, 2^290113212960 is an apocalyptic number.

290113212960 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 290113212960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495493951680).

290113212960 is an abundant number, since it is smaller than the sum of its proper divisors (700874690400).

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

290113212960 is a wasteful number, since it uses less digits than its factorization.

290113212960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198751 (or 198740 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 290113212960 in words is "two hundred ninety billion, one hundred thirteen million, two hundred twelve thousand, nine hundred sixty".