353645894059920 has 720 divisors, whose sum is σ = 1509513706546560. Its totient is φ = 73370168524800.

The previous prime is 353645894059891. The next prime is 353645894059937. The reversal of 353645894059920 is 29950498546353.

353645894059920 is a `hidden beast` number, since 3 + 5 + 3 + 6 + 4 + 5 + 8 + 9 + 4 + 0 + 599 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 248048461 + ... + 249470099.

It is an arithmetic number, because the mean of its divisors is an integer number (2096546814648).

Almost surely, 2^{353645894059920} is an apocalyptic number.

353645894059920 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 353645894059920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754756853273280).

353645894059920 is an abundant number, since it is smaller than the sum of its proper divisors (1155867812486640).

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

353645894059920 is a wasteful number, since it uses less digits than its factorization.

353645894059920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422324 (or 1422308 counting only the distinct ones).

The product of its (nonzero) digits is 1259712000, while the sum is 72.

The spelling of 353645894059920 in words is "three hundred fifty-three trillion, six hundred forty-five billion, eight hundred ninety-four million, fifty-nine thousand, nine hundred twenty".