35960996352 has 160 divisors (see below), whose sum is σ = 98436824640. Its totient is φ = 11659182080.

The previous prime is 35960996321. The next prime is 35960996387. The reversal of 35960996352 is 25369906953.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 35960996292 and 35960996301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27897724 + ... + 27899012.

It is an arithmetic number, because the mean of its divisors is an integer number (615230154).

Almost surely, 2^35960996352 is an apocalyptic number.

35960996352 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 35960996352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49218412320).

35960996352 is an abundant number, since it is smaller than the sum of its proper divisors (62475828288).

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

35960996352 is a wasteful number, since it uses less digits than its factorization.

35960996352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 11809800, while the sum is 57.

The spelling of 35960996352 in words is "thirty-five billion, nine hundred sixty million, nine hundred ninety-six thousand, three hundred fifty-two".