352610920864800 has 6912 divisors, whose sum is σ = 1621516216320000. Its totient is φ = 71073107804160.

The previous prime is 352610920864793. The next prime is 352610920864841. The reversal of 352610920864800 is 8468029016253.

352610920864800 is a `hidden beast` number, since 3 + 5 + 2 + 61 + 0 + 9 + 20 + 86 + 480 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 1771914175101 + ... + 1771914175299.

It is an arithmetic number, because the mean of its divisors is an integer number (234594360000).

Almost surely, 2^{352610920864800} is an apocalyptic number.

352610920864800 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 352610920864800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810758108160000).

352610920864800 is an abundant number, since it is smaller than the sum of its proper divisors (1268905295455200).

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

352610920864800 is a wasteful number, since it uses less digits than its factorization.

352610920864800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 352610920864800 in words is "three hundred fifty-two trillion, six hundred ten billion, nine hundred twenty million, eight hundred sixty-four thousand, eight hundred".