12358204784640 has 2400 divisors, whose sum is σ = 53864098180200. Its totient is φ = 2690729902080.

The previous prime is 12358204784587. The next prime is 12358204784663. The reversal of 12358204784640 is 4648740285321.

12358204784640 is a `hidden beast` number, since 1 + 2 + 35 + 82 + 0 + 4 + 78 + 464 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10197445902336 + 2160758882304 = 3193344^2 + 1469952^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 334005534702 + ... + 334005534738.

Almost surely, 2^{12358204784640} is an apocalyptic number.

12358204784640 is a gapful number since it is divisible by the number (10) 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 12358204784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26932049090100).

12358204784640 is an abundant number, since it is smaller than the sum of its proper divisors (41505893395560).

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

12358204784640 is an frugal number, since it uses more digits than its factorization.

12358204784640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 12358204784640 in words is "twelve trillion, three hundred fifty-eight billion, two hundred four million, seven hundred eighty-four thousand, six hundred forty".