10071576960 has 192 divisors, whose sum is σ = 32878684080. Its totient is φ = 2622369792.

The previous prime is 10071576929. The next prime is 10071576961. The reversal of 10071576960 is 6967517001.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10071576960² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10071576961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3548662 + ... + 3551498.

Almost surely, 2^10071576960 is an apocalyptic number.

10071576960 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 10071576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16439342040).

10071576960 is an abundant number, since it is smaller than the sum of its proper divisors (22807107120).

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

10071576960 is an equidigital number, since it uses as much as digits as its factorization.

10071576960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2945 (or 2890 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 42.

The spelling of 10071576960 in words is "ten billion, seventy-one million, five hundred seventy-six thousand, nine hundred sixty".