35897879853 has 72 divisors (see below), whose sum is σ = 59121550488. Its totient is φ = 20956320000.

The previous prime is 35897879837. The next prime is 35897879879.

35897879853 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 24788298249 + 11109581604 = 157443^2 + 105402^2 .

It is not a de Polignac number, because 35897879853 - 2⁴ = 35897879837 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35897879893) 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 71 ways as a sum of consecutive naturals, for example, 4065183 + ... + 4074003.

Almost surely, 2^35897879853 is an apocalyptic number.

35897879853 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

35897879853 is a deficient number, since it is larger than the sum of its proper divisors (23223670635).

35897879853 is a wasteful number, since it uses less digits than its factorization.

35897879853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8987 (or 8973 counting only the distinct ones).

The product of its digits is 457228800, while the sum is 72.

The spelling of 35897879853 in words is "thirty-five billion, eight hundred ninety-seven million, eight hundred seventy-nine thousand, eight hundred fifty-three".