290042052564 has 192 divisors, whose sum is σ = 787652812800. Its totient is φ = 82242048000.

The previous prime is 290042052491. The next prime is 290042052589. The reversal of 290042052564 is 465250240092.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 18950587 + ... + 18965885.

It is an arithmetic number, because the mean of its divisors is an integer number (4102358400).

Almost surely, 2^290042052564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290042052564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393826406400).

290042052564 is an abundant number, since it is smaller than the sum of its proper divisors (497610760236).

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

290042052564 is a wasteful number, since it uses less digits than its factorization.

290042052564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15502 (or 15500 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 290042052564 in words is "two hundred ninety billion, forty-two million, fifty-two thousand, five hundred sixty-four".