57950000005975 has 48 divisors (see below), whose sum is σ = 92678477483520. Its totient is φ = 34878996835200.

The previous prime is 57950000005969. The next prime is 57950000005979.

57950000005975 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57950000005975 - 2¹⁵ = 57949999973207 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57950000005979) 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, 518976867 + ... + 519088516.

It is an arithmetic number, because the mean of its divisors is an integer number (1930801614240).

Almost surely, 2^{57950000005975} is an apocalyptic number.

57950000005975 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57950000005975 is a deficient number, since it is larger than the sum of its proper divisors (34728477477545).

57950000005975 is a wasteful number, since it uses less digits than its factorization.

57950000005975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038065440 (or 1038065435 counting only the distinct ones).

The product of its (nonzero) digits is 2480625, while the sum is 52.

It can be divided in two parts, 5795000000 and 5975, that added together give a palindrome (5795005975).

The spelling of 57950000005975 in words is "fifty-seven trillion, nine hundred fifty billion, five thousand, nine hundred seventy-five".