10201372575264 has 288 divisors, whose sum is σ = 31577013140400. Its totient is φ = 3105246412800.

The previous prime is 10201372575193. The next prime is 10201372575341. The reversal of 10201372575264 is 46257527310201.

10201372575264 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 1 + 3 + 72 + 57 + 526 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7902328187664 + 2299044387600 = 2811108^2 + 1516260^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 487417152 + ... + 487438080.

Almost surely, 2^{10201372575264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201372575264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15788506570200).

10201372575264 is an abundant number, since it is smaller than the sum of its proper divisors (21375640565136).

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

10201372575264 is a wasteful number, since it uses less digits than its factorization.

10201372575264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22348 (or 22337 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

Adding to 10201372575264 its reverse (46257527310201), we get a palindrome (56458899885465).

The spelling of 10201372575264 in words is "ten trillion, two hundred one billion, three hundred seventy-two million, five hundred seventy-five thousand, two hundred sixty-four".