36011213280 has 480 divisors, whose sum is σ = 148227710400. Its totient is φ = 8230118400.

The previous prime is 36011213279. The next prime is 36011213291. The reversal of 36011213280 is 8231211063.

It is a happy number.

36011213280 is a `hidden beast` number, since 3 + 601 + 1 + 21 + 32 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4441230 + ... + 4449330.

It is an arithmetic number, because the mean of its divisors is an integer number (308807730).

Almost surely, 2^36011213280 is an apocalyptic number.

36011213280 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 36011213280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74113855200).

36011213280 is an abundant number, since it is smaller than the sum of its proper divisors (112216497120).

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

36011213280 is an equidigital number, since it uses as much as digits as its factorization.

36011213280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8149 (or 8118 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 36011213280 in words is "thirty-six billion, eleven million, two hundred thirteen thousand, two hundred eighty".