351255294720000 has 5760 divisors, whose sum is σ = 1557021534868800. Its totient is φ = 78829977600000.

The previous prime is 351255294719999. The next prime is 351255294720007. The reversal of 351255294720000 is 27492552153.

351255294720000 is a `hidden beast` number, since 3 + 5 + 1 + 2 + 552 + 94 + 7 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351255294720007) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 5758283519970 + ... + 5758283520030.

Almost surely, 2^{351255294720000} is an apocalyptic number.

351255294720000 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 351255294720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778510767434400).

351255294720000 is an abundant number, since it is smaller than the sum of its proper divisors (1205766240148800).

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

351255294720000 is an frugal number, since it uses more digits than its factorization.

351255294720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 351255294720000 in words is "three hundred fifty-one trillion, two hundred fifty-five billion, two hundred ninety-four million, seven hundred twenty thousand".