36436988160 has 180 divisors, whose sum is σ = 130378577868. Its totient is φ = 9716502528.

The previous prime is 36436988113. The next prime is 36436988183. The reversal of 36436988160 is 6188963463.

36436988160 is a `hidden beast` number, since 364 + 36 + 98 + 8 + 160 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16684372224 + 19752615936 = 129168^2 + 140544^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a junction number, because it is equal to n+sod(n) for n = 36436988097 and 36436988106.

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 19 ways as a sum of consecutive naturals, for example, 72039 + ... + 279398.

Almost surely, 2^36436988160 is an apocalyptic number.

36436988160 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 36436988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65189288934).

36436988160 is an abundant number, since it is smaller than the sum of its proper divisors (93941589708).

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

36436988160 is an equidigital number, since it uses as much as digits as its factorization.

36436988160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351470 (or 351447 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

It can be divided in two parts, 36436 and 988160, that added together give a triangular number (1024596 = T₁₄₃₁).

The spelling of 36436988160 in words is "thirty-six billion, four hundred thirty-six million, nine hundred eighty-eight thousand, one hundred sixty".