359119669896 has 192 divisors, whose sum is σ = 1059699579120. Its totient is φ = 109208217600.

The previous prime is 359119669877. The next prime is 359119669901. The reversal of 359119669896 is 698966911953.

359119669896 is a `hidden beast` number, since 359 + 1 + 196 + 6 + 9 + 89 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 72237312900 + 286882356996 = 268770^2 + 535614^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57947470 + ... + 57953666.

Almost surely, 2^359119669896 is an apocalyptic number.

359119669896 is a gapful number since it is divisible by the number (36) 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 359119669896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529849789560).

359119669896 is an abundant number, since it is smaller than the sum of its proper divisors (700579909224).

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

359119669896 is a wasteful number, since it uses less digits than its factorization.

359119669896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6936 (or 6929 counting only the distinct ones).

The product of its digits is 170061120, while the sum is 72.

The spelling of 359119669896 in words is "three hundred fifty-nine billion, one hundred nineteen million, six hundred sixty-nine thousand, eight hundred ninety-six".