10025160624960 has 448 divisors, whose sum is σ = 36324113962752. Its totient is φ = 2320689659904.

The previous prime is 10025160624931. The next prime is 10025160624991. The reversal of 10025160624960 is 6942606152001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 270909819 + ... + 270946821.

It is an arithmetic number, because the mean of its divisors is an integer number (81080611524).

Almost surely, 2^{10025160624960} is an apocalyptic number.

10025160624960 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 10025160624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18162056981376).

10025160624960 is an abundant number, since it is smaller than the sum of its proper divisors (26298953337792).

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

10025160624960 is a wasteful number, since it uses less digits than its factorization.

10025160624960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38330 (or 38320 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

Adding to 10025160624960 its reverse (6942606152001), we get a palindrome (16967766776961).

The spelling of 10025160624960 in words is "ten trillion, twenty-five billion, one hundred sixty million, six hundred twenty-four thousand, nine hundred sixty".