10162894560 has 768 divisors, whose sum is σ = 41699266560. Its totient is φ = 2023096320.

The previous prime is 10162894549. The next prime is 10162894583. The reversal of 10162894560 is 6549826101.

10162894560 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 (42).

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 127 ways as a sum of consecutive naturals, for example, 89937064 + ... + 89937176.

It is an arithmetic number, because the mean of its divisors is an integer number (54295920).

Almost surely, 2^10162894560 is an apocalyptic number.

10162894560 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 10162894560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20849633280).

10162894560 is an abundant number, since it is smaller than the sum of its proper divisors (31536372000).

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

10162894560 is a wasteful number, since it uses less digits than its factorization.

10162894560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 10162894560 in words is "ten billion, one hundred sixty-two million, eight hundred ninety-four thousand, five hundred sixty".