535970904869568 has 672 divisors, whose sum is σ = 1743772832040960. Its totient is φ = 144568728944640.

The previous prime is 535970904869567. The next prime is 535970904869627. The reversal of 535970904869568 is 865968409079535.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (84).

It is not an unprimeable number, because it can be changed into a prime (535970904869567) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72497075280 + ... + 72497082672.

It is an arithmetic number, because the mean of its divisors is an integer number (2594900047680).

Almost surely, 2^{535970904869568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535970904869568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871886416020480).

535970904869568 is an abundant number, since it is smaller than the sum of its proper divisors (1207801927171392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

535970904869568 is a wasteful number, since it uses less digits than its factorization.

535970904869568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11765 (or 11748 counting only the distinct ones).

The product of its (nonzero) digits is 17635968000, while the sum is 84.

The spelling of 535970904869568 in words is "five hundred thirty-five trillion, nine hundred seventy billion, nine hundred four million, eight hundred sixty-nine thousand, five hundred sixty-eight".