104724791265600 has 2352 divisors, whose sum is σ = 434155668883776. Its totient is φ = 24631382016000.

The previous prime is 104724791265599. The next prime is 104724791265623. The reversal of 104724791265600 is 6562197427401.

104724791265600 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 2 + 4 + 7 + 9 + 1 + 26 + 5 + 600 = 666.

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 335 ways as a sum of consecutive naturals, for example, 119412532362 + ... + 119412533238.

Almost surely, 2^{104724791265600} is an apocalyptic number.

104724791265600 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 104724791265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217077834441888).

104724791265600 is an abundant number, since it is smaller than the sum of its proper divisors (329430877618176).

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

104724791265600 is a wasteful number, since it uses less digits than its factorization.

104724791265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 104724791265600 in words is "one hundred four trillion, seven hundred twenty-four billion, seven hundred ninety-one million, two hundred sixty-five thousand, six hundred".