290693061120 has 1280 divisors, whose sum is σ = 1215529058304. Its totient is φ = 57507840000.

The previous prime is 290693061097. The next prime is 290693061133. The reversal of 290693061120 is 21160396092.

It is a tau number, because it is divible by the number of its divisors (1280).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1851548082 + ... + 1851548238.

Almost surely, 2^290693061120 is an apocalyptic number.

290693061120 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 290693061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607764529152).

290693061120 is an abundant number, since it is smaller than the sum of its proper divisors (924835997184).

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

290693061120 is a wasteful number, since it uses less digits than its factorization.

290693061120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The spelling of 290693061120 in words is "two hundred ninety billion, six hundred ninety-three million, sixty-one thousand, one hundred twenty".