10365596794800 has 1200 divisors, whose sum is σ = 40778262024192. Its totient is φ = 2506397644800.

The previous prime is 10365596794781. The next prime is 10365596794829. The reversal of 10365596794800 is 849769556301.

10365596794800 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 559 + 6 + 79 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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, 5723685895 + ... + 5723687705.

Almost surely, 2^{10365596794800} is an apocalyptic number.

10365596794800 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 10365596794800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20389131012096).

10365596794800 is an abundant number, since it is smaller than the sum of its proper divisors (30412665229392).

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

10365596794800 is a wasteful number, since it uses less digits than its factorization.

10365596794800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 10365596794800 in words is "ten trillion, three hundred sixty-five billion, five hundred ninety-six million, seven hundred ninety-four thousand, eight hundred".