352819272960 has 1728 divisors, whose sum is σ = 1667648908800. Its totient is φ = 68903239680.

The previous prime is 352819272941. The next prime is 352819272979. The reversal of 352819272960 is 69272918253.

352819272960 is a `hidden beast` number, since 3 + 5 + 281 + 9 + 272 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (352819272941) and next prime (352819272979).

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a junction number, because it is equal to n+sod(n) for n = 352819272897 and 352819272906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 497629086 + ... + 497629794.

It is an arithmetic number, because the mean of its divisors is an integer number (965074600).

Almost surely, 2^352819272960 is an apocalyptic number.

352819272960 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 352819272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833824454400).

352819272960 is an abundant number, since it is smaller than the sum of its proper divisors (1314829635840).

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

352819272960 is a wasteful number, since it uses less digits than its factorization.

352819272960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 352819272960 in words is "three hundred fifty-two billion, eight hundred nineteen million, two hundred seventy-two thousand, nine hundred sixty".