351889920000 has 650 divisors, whose sum is σ = 1314349959318. Its totient is φ = 93782016000.

The previous prime is 351889919947. The next prime is 351889920007. The reversal of 351889920000 is 29988153.

It is a happy number.

351889920000 is a `hidden beast` number, since 351 + 8 + 8 + 99 + 200 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 48667889664 + 303222030336 = 220608^2 + 550656^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (351889920007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 207359152 + ... + 207360848.

Almost surely, 2^351889920000 is an apocalyptic number.

351889920000 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 351889920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657174979659).

351889920000 is an abundant number, since it is smaller than the sum of its proper divisors (962460039318).

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

351889920000 is an frugal number, since it uses more digits than its factorization.

351889920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 351889920000 in words is "three hundred fifty-one billion, eight hundred eighty-nine million, nine hundred twenty thousand".