36016810272 has 192 divisors, whose sum is σ = 105979104000. Its totient is φ = 11899920384.

The previous prime is 36016810261. The next prime is 36016810303. The reversal of 36016810272 is 27201861063.

36016810272 is a `hidden beast` number, since 360 + 16 + 8 + 10 + 272 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 82042629 + ... + 82043067.

It is an arithmetic number, because the mean of its divisors is an integer number (551974500).

Almost surely, 2^36016810272 is an apocalyptic number.

36016810272 is a gapful number since it is divisible by the number (32) 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 36016810272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52989552000).

36016810272 is an abundant number, since it is smaller than the sum of its proper divisors (69962293728).

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

36016810272 is a wasteful number, since it uses less digits than its factorization.

36016810272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 36016810272 in words is "thirty-six billion, sixteen million, eight hundred ten thousand, two hundred seventy-two".