36566601120 has 1152 divisors, whose sum is σ = 158109719040. Its totient is φ = 7803371520.

The previous prime is 36566601103. The next prime is 36566601131. The reversal of 36566601120 is 2110666563.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 323598184 + ... + 323598296.

It is an arithmetic number, because the mean of its divisors is an integer number (137248020).

Almost surely, 2^36566601120 is an apocalyptic number.

36566601120 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 36566601120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79054859520).

36566601120 is an abundant number, since it is smaller than the sum of its proper divisors (121543117920).

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

36566601120 is a wasteful number, since it uses less digits than its factorization.

36566601120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 36566601120 in words is "thirty-six billion, five hundred sixty-six million, six hundred one thousand, one hundred twenty".