351088198560 has 1152 divisors, whose sum is σ = 1436517089280. Its totient is φ = 77780736000.

The previous prime is 351088198543. The next prime is 351088198619. The reversal of 351088198560 is 65891880153.

It is a junction number, because it is equal to n+sod(n) for n = 351088198497 and 351088198506.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1128900805 + ... + 1128901115.

It is an arithmetic number, because the mean of its divisors is an integer number (1246976640).

Almost surely, 2^351088198560 is an apocalyptic number.

351088198560 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 351088198560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718258544640).

351088198560 is an abundant number, since it is smaller than the sum of its proper divisors (1085428890720).

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

351088198560 is a wasteful number, since it uses less digits than its factorization.

351088198560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 351088198560 in words is "three hundred fifty-one billion, eighty-eight million, one hundred ninety-eight thousand, five hundred sixty".