10035957889764 has 27 divisors (see below), whose sum is σ = 25368719379913. Its totient is φ = 3345312960672.

The previous prime is 10035957889627. The next prime is 10035957889843. The reversal of 10035957889764 is 46798875953001.

The square root of 10035957889764 is 3167958.

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

10035957889764 is a `hidden beast` number, since 1 + 0 + 0 + 359 + 57 + 88 + 97 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5904462608100 + 4131495281664 = 2429910^2 + 2032608^2 .

It is a super-3 number, since 3×10035957889764³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10035957889692 and 10035957889701.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18743752 + ... + 19271744.

Almost surely, 2^{10035957889764} is an apocalyptic number.

10035957889764 is the 3167958-th square number.

It is an amenable number.

10035957889764 is an abundant number, since it is smaller than the sum of its proper divisors (15332761490149).

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

10035957889764 is an frugal number, since it uses more digits than its factorization.

10035957889764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055996 (or 527998 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 72.

The spelling of 10035957889764 in words is "ten trillion, thirty-five billion, nine hundred fifty-seven million, eight hundred eighty-nine thousand, seven hundred sixty-four".