508850672064 has 112 divisors (see below), whose sum is σ = 1539137392128. Its totient is φ = 145341508608.

The previous prime is 508850672063. The next prime is 508850672069. The reversal of 508850672064 is 460276058805.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 508850671998 and 508850672016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508850672063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4477189 + ... + 4589435.

It is an arithmetic number, because the mean of its divisors is an integer number (13742298144).

Almost surely, 2^508850672064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 508850672064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769568696064).

508850672064 is an abundant number, since it is smaller than the sum of its proper divisors (1030286720064).

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

508850672064 is a wasteful number, since it uses less digits than its factorization.

508850672064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115642 (or 115632 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 508850672064 in words is "five hundred eight billion, eight hundred fifty million, six hundred seventy-two thousand, sixty-four".