10025035312320 has 448 divisors, whose sum is σ = 40512279859200. Its totient is φ = 2286114140160.

The previous prime is 10025035312289. The next prime is 10025035312339. The reversal of 10025035312320 is 2321353052001.

It is a happy number.

10025035312320 is a `hidden beast` number, since 1 + 0 + 0 + 25 + 0 + 3 + 5 + 312 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25874586 + ... + 26259174.

Almost surely, 2^{10025035312320} is an apocalyptic number.

10025035312320 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 10025035312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20256139929600).

10025035312320 is an abundant number, since it is smaller than the sum of its proper divisors (30487244546880).

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

10025035312320 is a wasteful number, since it uses less digits than its factorization.

10025035312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385053 (or 385037 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 10025035312320 its reverse (2321353052001), we get a palindrome (12346388364321).

The spelling of 10025035312320 in words is "ten trillion, twenty-five billion, thirty-five million, three hundred twelve thousand, three hundred twenty".