36054618600 has 768 divisors, whose sum is σ = 151370311680. Its totient is φ = 6855782400.

The previous prime is 36054618569. The next prime is 36054618601. The reversal of 36054618600 is 681645063.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (36054618601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 103903627 + ... + 103903973.

It is an arithmetic number, because the mean of its divisors is an integer number (197096760).

Almost surely, 2^36054618600 is an apocalyptic number.

36054618600 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 36054618600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75685155840).

36054618600 is an abundant number, since it is smaller than the sum of its proper divisors (115315693080).

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

36054618600 is a wasteful number, since it uses less digits than its factorization.

36054618600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 36054618600 in words is "thirty-six billion, fifty-four million, six hundred eighteen thousand, six hundred".