10160640000 has 975 divisors, whose sum is σ = 44121288387. Its totient is φ = 2322432000.

The previous prime is 10160639989. The next prime is 10160640031. The reversal of 10160640000 is 4606101.

The square root of 10160640000 is 100800.

It is a perfect power (a square), and thus also a powerful number.

10160640000 is a `hidden beast` number, since 10 + 16 + 0 + 640 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 796594176 + 9364045824 = 28224^2 + 96768^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 74 ways as a sum of consecutive naturals, for example, 1451519997 + ... + 1451520003.

Almost surely, 2^10160640000 is an apocalyptic number.

10160640000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10160640000 is the 100800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10160640000

10160640000 is an abundant number, since it is smaller than the sum of its proper divisors (33960648387).

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

10160640000 is an frugal number, since it uses more digits than its factorization.

10160640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Multiplying 10160640000 by its product of nonzero digits (144), we get a square (1463132160000 = 1209600²).

10160640000 divided by its product of nonzero digits (144) gives a square (70560000 = 8400²).

The spelling of 10160640000 in words is "ten billion, one hundred sixty million, six hundred forty thousand".