36213166080 has 1248 divisors, whose sum is σ = 164866351104. Its totient is φ = 7134511104.

The previous prime is 36213166051. The next prime is 36213166127. The reversal of 36213166080 is 8066131263.

36213166080 is a `hidden beast` number, since 36 + 2 + 1 + 3 + 16 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×36213166080² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 285142977 + ... + 285143103.

It is an arithmetic number, because the mean of its divisors is an integer number (132104448).

Almost surely, 2^36213166080 is an apocalyptic number.

36213166080 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 36213166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82433175552).

36213166080 is an abundant number, since it is smaller than the sum of its proper divisors (128653185024).

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

36213166080 is a wasteful number, since it uses less digits than its factorization.

36213166080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 36213166080 in words is "thirty-six billion, two hundred thirteen million, one hundred sixty-six thousand, eighty".