350152163871840 has 1536 divisors, whose sum is σ = 1409527874764800. Its totient is φ = 81417034137600.

The previous prime is 350152163871833. The next prime is 350152163871859. The reversal of 350152163871840 is 48178361251053.

350152163871840 is a `hidden beast` number, since 3 + 5 + 0 + 1 + 5 + 216 + 387 + 1 + 8 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13483454376 + ... + 13483480344.

It is an arithmetic number, because the mean of its divisors is an integer number (917661376800).

Almost surely, 2^{350152163871840} is an apocalyptic number.

350152163871840 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 350152163871840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704763937382400).

350152163871840 is an abundant number, since it is smaller than the sum of its proper divisors (1059375710892960).

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

350152163871840 is a wasteful number, since it uses less digits than its factorization.

350152163871840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26160 (or 26134 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 350152163871840 in words is "three hundred fifty trillion, one hundred fifty-two billion, one hundred sixty-three million, eight hundred seventy-one thousand, eight hundred forty".