35138957568 has 864 divisors, whose sum is σ = 123312067200. Its totient is φ = 8780513280.

The previous prime is 35138957533. The next prime is 35138957569. The reversal of 35138957568 is 86575983153.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35138957569) 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, 595575523 + ... + 595575581.

It is an arithmetic number, because the mean of its divisors is an integer number (142722300).

Almost surely, 2^35138957568 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 35138957568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61656033600).

35138957568 is an abundant number, since it is smaller than the sum of its proper divisors (88173109632).

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

35138957568 is a wasteful number, since it uses less digits than its factorization.

35138957568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 134 counting only the distinct ones).

The product of its digits is 27216000, while the sum is 60.

The spelling of 35138957568 in words is "thirty-five billion, one hundred thirty-eight million, nine hundred fifty-seven thousand, five hundred sixty-eight".