352986221952000 has 10560 divisors, whose sum is σ = 1813042684252800. Its totient is φ = 67421129932800.

The previous prime is 352986221951939. The next prime is 352986221952059. The reversal of 352986221952000 is 259122689253.

It is a happy number.

352986221952000 is a `hidden beast` number, since 3 + 5 + 2 + 9 + 8 + 622 + 1 + 9 + 5 + 2 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 3639033215952 + ... + 3639033216048.

It is an arithmetic number, because the mean of its divisors is an integer number (171689648130).

Almost surely, 2^{352986221952000} is an apocalyptic number.

352986221952000 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 352986221952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906521342126400).

352986221952000 is an abundant number, since it is smaller than the sum of its proper divisors (1460056462300800).

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

352986221952000 is a wasteful number, since it uses less digits than its factorization.

352986221952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 352986221952000 in words is "three hundred fifty-two trillion, nine hundred eighty-six billion, two hundred twenty-one million, nine hundred fifty-two thousand".