353025564720400 has 480 divisors, whose sum is σ = 1010698603649280. Its totient is φ = 116800932864000.

The previous prime is 353025564720359. The next prime is 353025564720401. The reversal of 353025564720400 is 4027465520353.

It is not an unprimeable number, because it can be changed into a prime (353025564720401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23120403966 + ... + 23120419234.

It is an arithmetic number, because the mean of its divisors is an integer number (2105622090936).

Almost surely, 2^{353025564720400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353025564720400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505349301824640).

353025564720400 is an abundant number, since it is smaller than the sum of its proper divisors (657673038928880).

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

353025564720400 is a wasteful number, since it uses less digits than its factorization.

353025564720400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21075 (or 21064 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 46.

The spelling of 353025564720400 in words is "three hundred fifty-three trillion, twenty-five billion, five hundred sixty-four million, seven hundred twenty thousand, four hundred".