352872898560 has 1344 divisors, whose sum is σ = 1537701564672. Its totient is φ = 72873934848.

The previous prime is 352872898549. The next prime is 352872898589. The reversal of 352872898560 is 65898278253.

352872898560 is a `hidden beast` number, since 3 + 528 + 7 + 28 + 9 + 85 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2247598002 + ... + 2247598158.

It is an arithmetic number, because the mean of its divisors is an integer number (1144123188).

Almost surely, 2^352872898560 is an apocalyptic number.

352872898560 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 352872898560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768850782336).

352872898560 is an abundant number, since it is smaller than the sum of its proper divisors (1184828666112).

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

352872898560 is a wasteful number, since it uses less digits than its factorization.

352872898560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 352872898560 in words is "three hundred fifty-two billion, eight hundred seventy-two million, eight hundred ninety-eight thousand, five hundred sixty".