290013616050480 has 720 divisors, whose sum is σ = 1144671006679200. Its totient is φ = 65605807153152.

The previous prime is 290013616050479. The next prime is 290013616050497. The reversal of 290013616050480 is 84050616310092.

290013616050480 is a `hidden beast` number, since 2 + 9 + 0 + 0 + 1 + 3 + 6 + 1 + 60 + 504 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3959896422 + ... + 3959969658.

It is an arithmetic number, because the mean of its divisors is an integer number (1589820842610).

Almost surely, 2^{290013616050480} is an apocalyptic number.

290013616050480 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 290013616050480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572335503339600).

290013616050480 is an abundant number, since it is smaller than the sum of its proper divisors (854657390628720).

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

290013616050480 is a wasteful number, since it uses less digits than its factorization.

290013616050480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74426 (or 74410 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 290013616050480 in words is "two hundred ninety trillion, thirteen billion, six hundred sixteen million, fifty thousand, four hundred eighty".