35080561152 has 480 divisors, whose sum is σ = 125474469120. Its totient is φ = 9187983360.

The previous prime is 35080561151. The next prime is 35080561171. The reversal of 35080561152 is 25116508053.

It is a happy number.

35080561152 is a `hidden beast` number, since 3 + 5 + 0 + 80 + 561 + 15 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (35080561151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112799077 + ... + 112799387.

It is an arithmetic number, because the mean of its divisors is an integer number (261405144).

Almost surely, 2^35080561152 is an apocalyptic number.

35080561152 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 35080561152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62737234560).

35080561152 is an abundant number, since it is smaller than the sum of its proper divisors (90393907968).

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

35080561152 is a wasteful number, since it uses less digits than its factorization.

35080561152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 35080561152 in words is "thirty-five billion, eighty million, five hundred sixty-one thousand, one hundred fifty-two".