351563081760 has 480 divisors, whose sum is σ = 1433146442112. Its totient is φ = 80213483520.

The previous prime is 351563081731. The next prime is 351563081791. The reversal of 351563081760 is 67180365153.

351563081760 is a `hidden beast` number, since 3 + 5 + 1 + 5 + 630 + 8 + 1 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2350989 + ... + 2496051.

Almost surely, 2^351563081760 is an apocalyptic number.

351563081760 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 351563081760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716573221056).

351563081760 is an abundant number, since it is smaller than the sum of its proper divisors (1081583360352).

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

351563081760 is a wasteful number, since it uses less digits than its factorization.

351563081760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145118 (or 145101 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 351563081760 in words is "three hundred fifty-one billion, five hundred sixty-three million, eighty-one thousand, seven hundred sixty".