10363256709120 has 2016 divisors, whose sum is σ = 44510120784000. Its totient is φ = 2280814018560.

The previous prime is 10363256709109. The next prime is 10363256709133. The reversal of 10363256709120 is 2190765236301.

10363256709120 is a `hidden beast` number, since 1 + 0 + 3 + 63 + 2 + 567 + 0 + 9 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-3 number, since 3×10363256709120³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 52076666781 + ... + 52076666979.

Almost surely, 2^{10363256709120} is an apocalyptic number.

10363256709120 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 10363256709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22255060392000).

10363256709120 is an abundant number, since it is smaller than the sum of its proper divisors (34146864074880).

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

10363256709120 is an equidigital number, since it uses as much as digits as its factorization.

10363256709120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 10363256709120 in words is "ten trillion, three hundred sixty-three billion, two hundred fifty-six million, seven hundred nine thousand, one hundred twenty".