10075782897 has 48 divisors (see below), whose sum is σ = 15502027840. Its totient is φ = 6288482304.

The previous prime is 10075782869. The next prime is 10075782931. The reversal of 10075782897 is 79828757001.

It is a happy number.

It is not a de Polignac number, because 10075782897 - 2¹⁴ = 10075766513 is a prime.

It is a super-3 number, since 3×10075782897³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10075782097) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5378553 + ... + 5380425.

Almost surely, 2^10075782897 is an apocalyptic number.

It is an amenable number.

10075782897 is a deficient number, since it is larger than the sum of its proper divisors (5426244943).

10075782897 is a wasteful number, since it uses less digits than its factorization.

10075782897 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 54.

The spelling of 10075782897 in words is "ten billion, seventy-five million, seven hundred eighty-two thousand, eight hundred ninety-seven".