75294849257 has 32 divisors (see below), whose sum is σ = 80927616000. Its totient is φ = 69849086400.

The previous prime is 75294849241. The next prime is 75294849263.

75294849257 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 75294849257 - 2⁴ = 75294849241 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 75294849257.

It is not an unprimeable number, because it can be changed into a prime (75294849457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117098978 + ... + 117099620.

It is an arithmetic number, because the mean of its divisors is an integer number (2528988000).

Almost surely, 2^75294849257 is an apocalyptic number.

It is an amenable number.

75294849257 is a deficient number, since it is larger than the sum of its proper divisors (5632766743).

75294849257 is a wasteful number, since it uses less digits than its factorization.

75294849257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341.

The product of its digits is 50803200, while the sum is 62.

The spelling of 75294849257 in words is "seventy-five billion, two hundred ninety-four million, eight hundred forty-nine thousand, two hundred fifty-seven".