12355790706 has 480 divisors, whose sum is σ = 36945849600. Its totient is φ = 3056901120.

The previous prime is 12355790669. The next prime is 12355790737. The reversal of 12355790706 is 60709755321.

12355790706 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 579 + 0 + 70 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 156402375 + ... + 156402453.

It is an arithmetic number, because the mean of its divisors is an integer number (76970520).

Almost surely, 2^12355790706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12355790706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18472924800).

12355790706 is an abundant number, since it is smaller than the sum of its proper divisors (24590058894).

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

12355790706 is a wasteful number, since it uses less digits than its factorization.

12355790706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 12355790706 in words is "twelve billion, three hundred fifty-five million, seven hundred ninety thousand, seven hundred six".