34210052325054 has 128 divisors (see below), whose sum is σ = 79660115712000. Its totient is φ = 10867920336000.

The previous prime is 34210052325037. The next prime is 34210052325061. The reversal of 34210052325054 is 45052325001243.

34210052325054 is a `hidden beast` number, since 3 + 4 + 2 + 100 + 523 + 25 + 0 + 5 + 4 = 666.

It is a super-2 number, since 2×34210052325054² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 501131284 + ... + 501199544.

It is an arithmetic number, because the mean of its divisors is an integer number (622344654000).

Almost surely, 2^{34210052325054} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34210052325054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39830057856000).

34210052325054 is an abundant number, since it is smaller than the sum of its proper divisors (45450063386946).

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

34210052325054 is a wasteful number, since it uses less digits than its factorization.

34210052325054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72431 (or 72425 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 34210052325054 its reverse (45052325001243), we get a palindrome (79262377326297).

The spelling of 34210052325054 in words is "thirty-four trillion, two hundred ten billion, fifty-two million, three hundred twenty-five thousand, fifty-four".