10395050656320 has 2688 divisors, whose sum is σ = 44989533388800. Its totient is φ = 2256060211200.

The previous prime is 10395050656279. The next prime is 10395050656349. The reversal of 10395050656320 is 2365605059301.

10395050656320 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 5 + 0 + 5 + 0 + 6 + 5 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 23678930661 + ... + 23678931099.

It is an arithmetic number, because the mean of its divisors is an integer number (16737177600).

Almost surely, 2^{10395050656320} is an apocalyptic number.

10395050656320 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 10395050656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22494766694400).

10395050656320 is an abundant number, since it is smaller than the sum of its proper divisors (34594482732480).

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

10395050656320 is a wasteful number, since it uses less digits than its factorization.

10395050656320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 45.

The spelling of 10395050656320 in words is "ten trillion, three hundred ninety-five billion, fifty million, six hundred fifty-six thousand, three hundred twenty".