350533540235552 has 192 divisors, whose sum is σ = 770043407616000. Its totient is φ = 156096873861120.

The previous prime is 350533540235507. The next prime is 350533540235579. The reversal of 350533540235552 is 255532045335053.

It is a self number, because there is not a number n which added to its sum of digits gives 350533540235552.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52388808527 + ... + 52388815217.

It is an arithmetic number, because the mean of its divisors is an integer number (4010642748000).

Almost surely, 2^{350533540235552} is an apocalyptic number.

350533540235552 is a gapful number since it is divisible by the number (32) 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 350533540235552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385021703808000).

350533540235552 is an abundant number, since it is smaller than the sum of its proper divisors (419509867380448).

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

350533540235552 is a wasteful number, since it uses less digits than its factorization.

350533540235552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11759 (or 11751 counting only the distinct ones).

The product of its (nonzero) digits is 20250000, while the sum is 50.

The spelling of 350533540235552 in words is "three hundred fifty trillion, five hundred thirty-three billion, five hundred forty million, two hundred thirty-five thousand, five hundred fifty-two".