10457295267288 has 64 divisors (see below), whose sum is σ = 26413569756000. Its totient is φ = 3449723092992.

The previous prime is 10457295267281. The next prime is 10457295267301. The reversal of 10457295267288 is 88276259275401.

10457295267288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10457295267288³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10457295267281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121033768 + ... + 121120136.

Almost surely, 2^{10457295267288} is an apocalyptic number.

It is an amenable number.

10457295267288 is an abundant number, since it is smaller than the sum of its proper divisors (15956274488712).

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

10457295267288 is a wasteful number, since it uses less digits than its factorization.

10457295267288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138484 (or 138480 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 66.

The spelling of 10457295267288 in words is "ten trillion, four hundred fifty-seven billion, two hundred ninety-five million, two hundred sixty-seven thousand, two hundred eighty-eight".