351561980736000 has 960 divisors, whose sum is σ = 1375903900800000. Its totient is φ = 85950554112000.

The previous prime is 351561980735921. The next prime is 351561980736023. The reversal of 351561980736000 is 637089165153.

351561980736000 is a `hidden beast` number, since 3 + 5 + 1 + 561 + 9 + 8 + 0 + 73 + 6 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 338745876 + ... + 339782124.

It is an arithmetic number, because the mean of its divisors is an integer number (1433233230000).

Almost surely, 2^{351561980736000} is an apocalyptic number.

351561980736000 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 351561980736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687951950400000).

351561980736000 is an abundant number, since it is smaller than the sum of its proper divisors (1024341920064000).

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

351561980736000 is a wasteful number, since it uses less digits than its factorization.

351561980736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036338 (or 1036309 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 351561980736000 in words is "three hundred fifty-one trillion, five hundred sixty-one billion, nine hundred eighty million, seven hundred thirty-six thousand".