75435200253457 has 8 divisors (see below), whose sum is σ = 83284427005920. Its totient is φ = 67751220380160.

The previous prime is 75435200253433. The next prime is 75435200253463.

75435200253457 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 75435200253457 - 2¹¹ = 75435200251409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75435200253407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41311718832 + ... + 41311720657.

It is an arithmetic number, because the mean of its divisors is an integer number (10410553375740).

Almost surely, 2^{75435200253457} is an apocalyptic number.

It is an amenable number.

75435200253457 is a deficient number, since it is larger than the sum of its proper divisors (7849226752463).

75435200253457 is a wasteful number, since it uses less digits than its factorization.

75435200253457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82623439583.

The product of its (nonzero) digits is 17640000, while the sum is 52.

It can be divided in two parts, 75435200 and 253457, that added together give a palindrome (75688657).

The spelling of 75435200253457 in words is "seventy-five trillion, four hundred thirty-five billion, two hundred million, two hundred fifty-three thousand, four hundred fifty-seven".