350215335106560 has 1536 divisors, whose sum is σ = 1633781560320000. Its totient is φ = 68941831864320.

The previous prime is 350215335106453. The next prime is 350215335106589. The reversal of 350215335106560 is 65601533512053.

350215335106560 is a `hidden beast` number, since 3 + 5 + 0 + 2 + 1 + 5 + 33 + 51 + 0 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-3 number, since 3×350215335106560³ (a number of 45 digits) contains 333 as substring.

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

It is a congruent number.

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, 404057331 + ... + 404923149.

It is an arithmetic number, because the mean of its divisors is an integer number (1063659870000).

Almost surely, 2^{350215335106560} is an apocalyptic number.

350215335106560 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 350215335106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816890780160000).

350215335106560 is an abundant number, since it is smaller than the sum of its proper divisors (1283566225213440).

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

350215335106560 is a wasteful number, since it uses less digits than its factorization.

350215335106560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865892 (or 865866 counting only the distinct ones).

The product of its (nonzero) digits is 1215000, while the sum is 45.

The spelling of 350215335106560 in words is "three hundred fifty trillion, two hundred fifteen billion, three hundred thirty-five million, one hundred six thousand, five hundred sixty".