35998075008 has 768 divisors, whose sum is σ = 134042688000. Its totient is φ = 9219538944.

The previous prime is 35998075007. The next prime is 35998075019. The reversal of 35998075008 is 80057089953.

35998075008 is a `hidden beast` number, since 3 + 59 + 9 + 80 + 7 + 500 + 8 = 666.

It is a super-2 number, since 2×35998075008² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35998075007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 154498060 + ... + 154498292.

It is an arithmetic number, because the mean of its divisors is an integer number (174534750).

Almost surely, 2^35998075008 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 35998075008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67021344000).

35998075008 is an abundant number, since it is smaller than the sum of its proper divisors (98044612992).

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

35998075008 is a wasteful number, since it uses less digits than its factorization.

35998075008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 35998075008 in words is "thirty-five billion, nine hundred ninety-eight million, seventy-five thousand, eight".