35989920338112 has 336 divisors, whose sum is σ = 120364392788640. Its totient is φ = 10180036952064.

The previous prime is 35989920338101. The next prime is 35989920338131. The reversal of 35989920338112 is 21183302998953.

35989920338112 is a `hidden beast` number, since 3 + 598 + 9 + 9 + 2 + 0 + 3 + 38 + 1 + 1 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 35989920338112.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2186214 + ... + 8761242.

It is an arithmetic number, because the mean of its divisors is an integer number (358227359490).

Almost surely, 2^{35989920338112} is an apocalyptic number.

35989920338112 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 35989920338112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60182196394320).

35989920338112 is an abundant number, since it is smaller than the sum of its proper divisors (84374472450528).

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

35989920338112 is a wasteful number, since it uses less digits than its factorization.

35989920338112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6575120 (or 6575107 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 35989920338112 in words is "thirty-five trillion, nine hundred eighty-nine billion, nine hundred twenty million, three hundred thirty-eight thousand, one hundred twelve".