36350350560 has 288 divisors, whose sum is σ = 128923153632. Its totient is φ = 9672099840.

The previous prime is 36350350549. The next prime is 36350350567. The reversal of 36350350560 is 6505305363.

36350350560 is a `hidden beast` number, since 3 + 63 + 5 + 0 + 35 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36350350567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26321070 + ... + 26322450.

It is an arithmetic number, because the mean of its divisors is an integer number (447649839).

Almost surely, 2^36350350560 is an apocalyptic number.

36350350560 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 36350350560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64461576816).

36350350560 is an abundant number, since it is smaller than the sum of its proper divisors (92572803072).

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

36350350560 is a wasteful number, since it uses less digits than its factorization.

36350350560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 36.

The spelling of 36350350560 in words is "thirty-six billion, three hundred fifty million, three hundred fifty thousand, five hundred sixty".