10045395360 has 1536 divisors, whose sum is σ = 49746493440. Its totient is φ = 1824768000.

The previous prime is 10045395343. The next prime is 10045395391. The reversal of 10045395360 is 6359354001.

10045395360 is a `hidden beast` number, since 10 + 0 + 4 + 539 + 53 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 99459310 + ... + 99459410.

It is an arithmetic number, because the mean of its divisors is an integer number (32387040).

Almost surely, 2^10045395360 is an apocalyptic number.

10045395360 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 10045395360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24873246720).

10045395360 is an abundant number, since it is smaller than the sum of its proper divisors (39701098080).

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

10045395360 is a wasteful number, since it uses less digits than its factorization.

10045395360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 10045395360 in words is "ten billion, forty-five million, three hundred ninety-five thousand, three hundred sixty".