36048758400000 has 2376 divisors, whose sum is σ = 144464783240232. Its totient is φ = 8957952000000.

The previous prime is 36048758399971. The next prime is 36048758400019. The reversal of 36048758400000 is 485784063.

36048758400000 is a `hidden beast` number, since 3 + 60 + 4 + 8 + 7 + 584 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 28399861039104 + 7648897360896 = 5329152^2 + 2765664^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 356918399950 + ... + 356918400050.

Almost surely, 2^{36048758400000} is an apocalyptic number.

36048758400000 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 36048758400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72232391620116).

36048758400000 is an abundant number, since it is smaller than the sum of its proper divisors (108416024840232).

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

36048758400000 is an frugal number, since it uses more digits than its factorization.

36048758400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 36048758400000 in words is "thirty-six trillion, forty-eight billion, seven hundred fifty-eight million, four hundred thousand".