36505598088960 has 8064 divisors, whose sum is σ = 197812582410240. Its totient is φ = 6243334225920.

The previous prime is 36505598088901. The next prime is 36505598088997. The reversal of 36505598088960 is 6988089550563.

36505598088960 is a `hidden beast` number, since 3 + 6 + 5 + 0 + 559 + 8 + 0 + 8 + 8 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (8064).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 895 ways as a sum of consecutive naturals, for example, 1921347267831 + ... + 1921347267849.

It is an arithmetic number, because the mean of its divisors is an integer number (24530330160).

Almost surely, 2^{36505598088960} is an apocalyptic number.

36505598088960 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 36505598088960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98906291205120).

36505598088960 is an abundant number, since it is smaller than the sum of its proper divisors (161306984321280).

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

36505598088960 is a wasteful number, since it uses less digits than its factorization.

36505598088960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 559872000, while the sum is 72.

The spelling of 36505598088960 in words is "thirty-six trillion, five hundred five billion, five hundred ninety-eight million, eighty-eight thousand, nine hundred sixty".