351028880160 has 192 divisors, whose sum is σ = 1265195780352. Its totient is φ = 80140455936.

The previous prime is 351028880159. The next prime is 351028880179. The reversal of 351028880160 is 61088820153.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2804842 + ... + 2927318.

It is an arithmetic number, because the mean of its divisors is an integer number (6589561356).

Almost surely, 2^351028880160 is an apocalyptic number.

351028880160 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 351028880160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632597890176).

351028880160 is an abundant number, since it is smaller than the sum of its proper divisors (914166900192).

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

351028880160 is a wasteful number, since it uses less digits than its factorization.

351028880160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123355 (or 123347 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 351028880160 in words is "three hundred fifty-one billion, twenty-eight million, eight hundred eighty thousand, one hundred sixty".