36187471872000 has 1600 divisors, whose sum is σ = 143221436701200. Its totient is φ = 9059696640000.

The previous prime is 36187471871953. The next prime is 36187471872023. The reversal of 36187471872000 is 27817478163.

36187471872000 is a `hidden beast` number, since 3 + 618 + 7 + 4 + 7 + 18 + 7 + 2 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13965826719744 + 22221645152256 = 3737088^2 + 4713984^2 .

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 90243071800 + ... + 90243072200.

Almost surely, 2^{36187471872000} is an apocalyptic number.

36187471872000 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 36187471872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71610718350600).

36187471872000 is an abundant number, since it is smaller than the sum of its proper divisors (107033964829200).

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

36187471872000 is an frugal number, since it uses more digits than its factorization.

36187471872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 36187471872000 in words is "thirty-six trillion, one hundred eighty-seven billion, four hundred seventy-one million, eight hundred seventy-two thousand".