359675112960 has 320 divisors, whose sum is σ = 1279340884800. Its totient is φ = 95782404096.

The previous prime is 359675112959. The next prime is 359675112961. The reversal of 359675112960 is 69211576953.

359675112960 is a `hidden beast` number, since 3 + 5 + 9 + 67 + 511 + 2 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (359675112959) and next prime (359675112961).

It is a tau number, because it is divible by the number of its divisors (320).

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 = 359675112897 and 359675112906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359675112961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57297342 + ... + 57303618.

It is an arithmetic number, because the mean of its divisors is an integer number (3997940265).

Almost surely, 2^359675112960 is an apocalyptic number.

359675112960 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 359675112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639670442400).

359675112960 is an abundant number, since it is smaller than the sum of its proper divisors (919665771840).

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

359675112960 is an equidigital number, since it uses as much as digits as its factorization.

359675112960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7138 (or 7116 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 359675112960 in words is "three hundred fifty-nine billion, six hundred seventy-five million, one hundred twelve thousand, nine hundred sixty".