290920090008000 has 224 divisors, whose sum is σ = 960655916233728. Its totient is φ = 77575639680000.

The previous prime is 290920090007959. The next prime is 290920090008043. The reversal of 290920090008000 is 800090029092.

It is a self number, because there is not a number n which added to its sum of digits gives 290920090008000.

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 31 ways as a sum of consecutive naturals, for example, 646599117 + ... + 647048883.

Almost surely, 2^{290920090008000} is an apocalyptic number.

290920090008000 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 290920090008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480327958116864).

290920090008000 is an abundant number, since it is smaller than the sum of its proper divisors (669735826225728).

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

290920090008000 is a wasteful number, since it uses less digits than its factorization.

290920090008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476748 (or 476728 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The spelling of 290920090008000 in words is "two hundred ninety trillion, nine hundred twenty billion, ninety million, eight thousand".