10264360070416 has 135 divisors (see below), whose sum is σ = 20944630959343. Its totient is φ = 4872857731840.

The previous prime is 10264360070357. The next prime is 10264360070431. The reversal of 10264360070416 is 61407006346201.

The square root of 10264360070416 is 3203804.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 646422432016 + 9617937638400 = 804004^2 + 3101280^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26386529550 + ... + 26386529938.

Almost surely, 2^{10264360070416} is an apocalyptic number.

10264360070416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10264360070416 is the 3203804-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10264360070416

10264360070416 is an abundant number, since it is smaller than the sum of its proper divisors (10680270888927).

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

10264360070416 is an frugal number, since it uses more digits than its factorization.

10264360070416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 10264360070416 in words is "ten trillion, two hundred sixty-four billion, three hundred sixty million, seventy thousand, four hundred sixteen".