350054872020 has 768 divisors, whose sum is σ = 1358622720000. Its totient is φ = 74530326528.

The previous prime is 350054871967. The next prime is 350054872021. The reversal of 350054872020 is 20278450053.

350054872020 is a `hidden beast` number, since 3 + 500 + 54 + 87 + 2 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350054872021) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 336914661 + ... + 336915699.

It is an arithmetic number, because the mean of its divisors is an integer number (1769040000).

Almost surely, 2^350054872020 is an apocalyptic number.

350054872020 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 350054872020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679311360000).

350054872020 is an abundant number, since it is smaller than the sum of its proper divisors (1008567847980).

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

350054872020 is a wasteful number, since it uses less digits than its factorization.

350054872020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 350054872020 in words is "three hundred fifty billion, fifty-four million, eight hundred seventy-two thousand, twenty".