350120801520 has 360 divisors, whose sum is σ = 1385118221760. Its totient is φ = 79013975040.

The previous prime is 350120801483. The next prime is 350120801551. The reversal of 350120801520 is 25108021053.

It is a happy number.

350120801520 is a `hidden beast` number, since 3 + 50 + 12 + 0 + 80 + 1 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2724310 + ... + 2849930.

It is an arithmetic number, because the mean of its divisors is an integer number (3847550616).

Almost surely, 2^350120801520 is an apocalyptic number.

350120801520 is a gapful number since it is divisible by the number (30) 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 350120801520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692559110880).

350120801520 is an abundant number, since it is smaller than the sum of its proper divisors (1034997420240).

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

350120801520 is a wasteful number, since it uses less digits than its factorization.

350120801520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125733 (or 125717 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 350120801520 its reverse (25108021053), we get a palindrome (375228822573).

The spelling of 350120801520 in words is "three hundred fifty billion, one hundred twenty million, eight hundred one thousand, five hundred twenty".