10022500514320 has 160 divisors (see below), whose sum is σ = 27085081086720. Its totient is φ = 3377794590720.

The previous prime is 10022500514303. The next prime is 10022500514329. The reversal of 10022500514320 is 2341500522001.

It is not an unprimeable number, because it can be changed into a prime (10022500514329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53845734 + ... + 54031546.

It is an arithmetic number, because the mean of its divisors is an integer number (169281756792).

Almost surely, 2^{10022500514320} is an apocalyptic number.

10022500514320 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 10022500514320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13542540543360).

10022500514320 is an abundant number, since it is smaller than the sum of its proper divisors (17062580572400).

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

10022500514320 is a wasteful number, since it uses less digits than its factorization.

10022500514320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187473 (or 187467 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 10022500514320 in words is "ten trillion, twenty-two billion, five hundred million, five hundred fourteen thousand, three hundred twenty".