350057812008960 has 1792 divisors, whose sum is σ = 1412743259750400. Its totient is φ = 81467198668800.

The previous prime is 350057812008917. The next prime is 350057812008979. The reversal of 350057812008960 is 69800218750053.

350057812008960 is a `hidden beast` number, since 3 + 5 + 0 + 0 + 578 + 1 + 2 + 0 + 0 + 8 + 9 + 60 = 666.

It is a super-2 number, since 2×350057812008960² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 350057812008897 and 350057812008906.

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 127 ways as a sum of consecutive naturals, for example, 47894073786 + ... + 47894081094.

Almost surely, 2^{350057812008960} is an apocalyptic number.

350057812008960 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 350057812008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706371629875200).

350057812008960 is an abundant number, since it is smaller than the sum of its proper divisors (1062685447741440).

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

350057812008960 is a wasteful number, since it uses less digits than its factorization.

350057812008960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7518 (or 7488 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 350057812008960 in words is "three hundred fifty trillion, fifty-seven billion, eight hundred twelve million, eight thousand, nine hundred sixty".