352052898480 has 960 divisors, whose sum is σ = 1394160768000. Its totient is φ = 82081714176.

The previous prime is 352052898473. The next prime is 352052898481. The reversal of 352052898480 is 84898250253.

It is a happy number.

352052898480 is a `hidden beast` number, since 3 + 5 + 20 + 52 + 8 + 98 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (352052898481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 246362406 + ... + 246363834.

It is an arithmetic number, because the mean of its divisors is an integer number (1452250800).

Almost surely, 2^352052898480 is an apocalyptic number.

352052898480 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 352052898480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697080384000).

352052898480 is an abundant number, since it is smaller than the sum of its proper divisors (1042107869520).

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

352052898480 is a wasteful number, since it uses less digits than its factorization.

352052898480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 352052898480 in words is "three hundred fifty-two billion, fifty-two million, eight hundred ninety-eight thousand, four hundred eighty".