350201025320520 has 512 divisors, whose sum is σ = 1154982763584000. Its totient is φ = 84243464847360.

The previous prime is 350201025320483. The next prime is 350201025320539. The reversal of 350201025320520 is 25023520102053.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 112641048726 + ... + 112641051834.

It is an arithmetic number, because the mean of its divisors is an integer number (2255825710125).

Almost surely, 2^{350201025320520} is an apocalyptic number.

350201025320520 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 350201025320520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577491381792000).

350201025320520 is an abundant number, since it is smaller than the sum of its proper divisors (804781738263480).

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

350201025320520 is a wasteful number, since it uses less digits than its factorization.

350201025320520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4593 (or 4589 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 350201025320520 its reverse (25023520102053), we get a palindrome (375224545422573).

The spelling of 350201025320520 in words is "three hundred fifty trillion, two hundred one billion, twenty-five million, three hundred twenty thousand, five hundred twenty".