35989968954240 has 2048 divisors, whose sum is σ = 154315653120000. Its totient is φ = 7750135185408.

The previous prime is 35989968954209. The next prime is 35989968954281. The reversal of 35989968954240 is 4245986998953.

35989968954240 is a `hidden beast` number, since 3 + 5 + 9 + 8 + 9 + 9 + 68 + 9 + 542 + 4 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 35989968954240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 75135634321 + ... + 75135634799.

It is an arithmetic number, because the mean of its divisors is an integer number (75349440000).

Almost surely, 2^{35989968954240} is an apocalyptic number.

35989968954240 is a gapful number since it is divisible by the number (30) 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 35989968954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77157826560000).

35989968954240 is an abundant number, since it is smaller than the sum of its proper divisors (118325684165760).

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

35989968954240 is a wasteful number, since it uses less digits than its factorization.

35989968954240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 6046617600, while the sum is 81.

The spelling of 35989968954240 in words is "thirty-five trillion, nine hundred eighty-nine billion, nine hundred sixty-eight million, nine hundred fifty-four thousand, two hundred forty".