35821047985920 has 720 divisors, whose sum is σ = 135808566395040. Its totient is φ = 8984111874048.

The previous prime is 35821047985871. The next prime is 35821047985991. The reversal of 35821047985920 is 2958974012853.

35821047985920 is a `hidden beast` number, since 3 + 5 + 82 + 1 + 0 + 479 + 85 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2853578364 + ... + 2853590916.

It is an arithmetic number, because the mean of its divisors is an integer number (188623008882).

Almost surely, 2^{35821047985920} is an apocalyptic number.

35821047985920 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 35821047985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67904283197520).

35821047985920 is an abundant number, since it is smaller than the sum of its proper divisors (99987518409120).

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

35821047985920 is a wasteful number, since it uses less digits than its factorization.

35821047985920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14222 (or 14199 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 35821047985920 in words is "thirty-five trillion, eight hundred twenty-one billion, forty-seven million, nine hundred eighty-five thousand, nine hundred twenty".