35801242752 has 256 divisors, whose sum is σ = 111252787200. Its totient is φ = 10079846400.

The previous prime is 35801242747. The next prime is 35801242783. The reversal of 35801242752 is 25724210853.

It is a self number, because there is not a number n which added to its sum of digits gives 35801242752.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5669677 + ... + 5675987.

It is an arithmetic number, because the mean of its divisors is an integer number (434581200).

Almost surely, 2^35801242752 is an apocalyptic number.

35801242752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35801242752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55626393600).

35801242752 is an abundant number, since it is smaller than the sum of its proper divisors (75451544448).

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

35801242752 is a wasteful number, since it uses less digits than its factorization.

35801242752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6435 (or 6423 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 35801242752 in words is "thirty-five billion, eight hundred one million, two hundred forty-two thousand, seven hundred fifty-two".