10061238096 has 280 divisors, whose sum is σ = 35975614080. Its totient is φ = 2653233408.

The previous prime is 10061238079. The next prime is 10061238107. The reversal of 10061238096 is 69083216001.

10061238096 is a `hidden beast` number, since 1 + 0 + 0 + 612 + 38 + 0 + 9 + 6 = 666.

10061238096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10061238096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1056685 + ... + 1066163.

It is an arithmetic number, because the mean of its divisors is an integer number (128484336).

Almost surely, 2^10061238096 is an apocalyptic number.

10061238096 is a gapful number since it is divisible by the number (16) 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 10061238096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17987807040).

10061238096 is an abundant number, since it is smaller than the sum of its proper divisors (25914375984).

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

10061238096 is an equidigital number, since it uses as much as digits as its factorization.

10061238096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9525 (or 9504 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 10061238096 in words is "ten billion, sixty-one million, two hundred thirty-eight thousand, ninety-six".