10042875797760 has 720 divisors, whose sum is σ = 39334235833200. Its totient is φ = 2431546490880.

The previous prime is 10042875797753. The next prime is 10042875797879. The reversal of 10042875797760 is 6779757824001.

10042875797760 is a `hidden beast` number, since 1 + 0 + 0 + 428 + 7 + 57 + 97 + 76 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3233782185984 + 6809093611776 = 1798272^2 + 2609424^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 82157166 + ... + 82279314.

Almost surely, 2^{10042875797760} is an apocalyptic number.

10042875797760 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 10042875797760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19667117916600).

10042875797760 is an abundant number, since it is smaller than the sum of its proper divisors (29291360035440).

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

10042875797760 is a wasteful number, since it uses less digits than its factorization.

10042875797760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122256 (or 122233 counting only the distinct ones).

The product of its (nonzero) digits is 41489280, while the sum is 63.

The spelling of 10042875797760 in words is "ten trillion, forty-two billion, eight hundred seventy-five million, seven hundred ninety-seven thousand, seven hundred sixty".