10360970880 has 384 divisors, whose sum is σ = 36770526720. Its totient is φ = 2478587904.

The previous prime is 10360970863. The next prime is 10360970881. The reversal of 10360970880 is 8807906301.

10360970880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×10360970880³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10360970881) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 12005329 + ... + 12006191.

It is an arithmetic number, because the mean of its divisors is an integer number (95756580).

Almost surely, 2^10360970880 is an apocalyptic number.

10360970880 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 10360970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18385263360).

10360970880 is an abundant number, since it is smaller than the sum of its proper divisors (26409555840).

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

10360970880 is a wasteful number, since it uses less digits than its factorization.

10360970880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 10360970880 in words is "ten billion, three hundred sixty million, nine hundred seventy thousand, eight hundred eighty".