36355084009920 has 448 divisors, whose sum is σ = 138144093373440. Its totient is φ = 8947269144576.

The previous prime is 36355084009913. The next prime is 36355084009943. The reversal of 36355084009920 is 2990048055363.

36355084009920 is a `hidden beast` number, since 3 + 6 + 3 + 5 + 508 + 40 + 0 + 9 + 92 + 0 = 666.

It is a super-3 number, since 3×36355084009920³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 665244037 + ... + 665298683.

It is an arithmetic number, because the mean of its divisors is an integer number (308357351280).

Almost surely, 2^{36355084009920} is an apocalyptic number.

36355084009920 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 36355084009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69072046686720).

36355084009920 is an abundant number, since it is smaller than the sum of its proper divisors (101789009363520).

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

36355084009920 is a wasteful number, since it uses less digits than its factorization.

36355084009920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60609 (or 60593 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 36355084009920 in words is "thirty-six trillion, three hundred fifty-five billion, eighty-four million, nine thousand, nine hundred twenty".