36273528345600 has 5544 divisors, whose sum is σ = 175462580961792. Its totient is φ = 7266690662400.

The previous prime is 36273528345559. The next prime is 36273528345611. The reversal of 36273528345600 is 654382537263.

36273528345600 is a `hidden beast` number, since 3 + 6 + 2 + 7 + 3 + 5 + 28 + 3 + 4 + 5 + 600 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 684406195174 + ... + 684406195226.

Almost surely, 2^{36273528345600} is an apocalyptic number.

36273528345600 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 36273528345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87731290480896).

36273528345600 is an abundant number, since it is smaller than the sum of its proper divisors (139189052616192).

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

36273528345600 is a wasteful number, since it uses less digits than its factorization.

36273528345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 36273528345600 in words is "thirty-six trillion, two hundred seventy-three billion, five hundred twenty-eight million, three hundred forty-five thousand, six hundred".