10268160000 has 520 divisors, whose sum is σ = 39304218624. Its totient is φ = 2334720000.

The previous prime is 10268159981. The next prime is 10268160029. The reversal of 10268160000 is 6186201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 53759905 + ... + 53760095.

Almost surely, 2^10268160000 is an apocalyptic number.

10268160000 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 10268160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19652109312).

10268160000 is an abundant number, since it is smaller than the sum of its proper divisors (29036058624).

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

10268160000 is an frugal number, since it uses more digits than its factorization.

10268160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 10268160000 in words is "ten billion, two hundred sixty-eight million, one hundred sixty thousand".