352541185920 has 2880 divisors, whose sum is σ = 1706620164480. Its totient is φ = 68976230400.

The previous prime is 352541185907. The next prime is 352541185939. The reversal of 352541185920 is 29581145253.

352541185920 is a `hidden beast` number, since 3 + 5 + 2 + 5 + 41 + 18 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 359 ways as a sum of consecutive naturals, for example, 9528140142 + ... + 9528140178.

It is an arithmetic number, because the mean of its divisors is an integer number (592576446).

Almost surely, 2^352541185920 is an apocalyptic number.

352541185920 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 352541185920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853310082240).

352541185920 is an abundant number, since it is smaller than the sum of its proper divisors (1354078978560).

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

352541185920 is a wasteful number, since it uses less digits than its factorization.

352541185920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 352541185920 in words is "three hundred fifty-two billion, five hundred forty-one million, one hundred eighty-five thousand, nine hundred twenty".