506106707070 has 192 divisors, whose sum is σ = 1266263668800. Its totient is φ = 129432748032.

The previous prime is 506106707047. The next prime is 506106707101. The reversal of 506106707070 is 70707601605.

It is a super-2 number, since 2×506106707070² (a number of 24 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 95 ways as a sum of consecutive naturals, for example, 1127186206 + ... + 1127186654.

It is an arithmetic number, because the mean of its divisors is an integer number (6595123275).

Almost surely, 2^506106707070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506106707070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633131834400).

506106707070 is an abundant number, since it is smaller than the sum of its proper divisors (760156961730).

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

506106707070 is a wasteful number, since it uses less digits than its factorization.

506106707070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 39.

The spelling of 506106707070 in words is "five hundred six billion, one hundred six million, seven hundred seven thousand, seventy".