36003960000000 has 2560 divisors, whose sum is σ = 147599340894720. Its totient is φ = 8626176000000.

The previous prime is 36003959999993. The next prime is 36003960000101. The reversal of 36003960000000 is 6930063.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 679319999974 + ... + 679320000026.

It is an arithmetic number, because the mean of its divisors is an integer number (57655992537).

Almost surely, 2^{36003960000000} is an apocalyptic number.

36003960000000 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 36003960000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73799670447360).

36003960000000 is an abundant number, since it is smaller than the sum of its proper divisors (111595380894720).

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

36003960000000 is an frugal number, since it uses more digits than its factorization.

36003960000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 36003960000000 its reverse (6930063), we get a palindrome (36003966930063).

The spelling of 36003960000000 in words is "thirty-six trillion, three billion, nine hundred sixty million", and thus it is an aban number.