36573788160 has 1152 divisors, whose sum is σ = 160982640000. Its totient is φ = 7629963264.

The previous prime is 36573788143. The next prime is 36573788191. The reversal of 36573788160 is 6188737563.

36573788160 is a `hidden beast` number, since 3 + 6 + 573 + 7 + 8 + 8 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 36573788097 and 36573788106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 410941396 + ... + 410941484.

It is an arithmetic number, because the mean of its divisors is an integer number (139741875).

Almost surely, 2^36573788160 is an apocalyptic number.

36573788160 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 36573788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80491320000).

36573788160 is an abundant number, since it is smaller than the sum of its proper divisors (124408851840).

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

36573788160 is a wasteful number, since it uses less digits than its factorization.

36573788160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 36573788160 in words is "thirty-six billion, five hundred seventy-three million, seven hundred eighty-eight thousand, one hundred sixty".