351055918080 has 1056 divisors, whose sum is σ = 1456215231744. Its totient is φ = 79435137024.

The previous prime is 351055918061. The next prime is 351055918093. The reversal of 351055918080 is 80819550153.

351055918080 is a `hidden beast` number, since 3 + 5 + 1 + 0 + 559 + 18 + 0 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1506677644 + ... + 1506677876.

Almost surely, 2^351055918080 is an apocalyptic number.

351055918080 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 351055918080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728107615872).

351055918080 is an abundant number, since it is smaller than the sum of its proper divisors (1105159313664).

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

351055918080 is a wasteful number, since it uses less digits than its factorization.

351055918080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 45.

The spelling of 351055918080 in words is "three hundred fifty-one billion, fifty-five million, nine hundred eighteen thousand, eighty".