36255098880 has 1536 divisors, whose sum is σ = 174356582400. Its totient is φ = 6900940800.

The previous prime is 36255098833. The next prime is 36255098899. The reversal of 36255098880 is 8889055263.

36255098880 is a `hidden beast` number, since 3 + 6 + 2 + 550 + 9 + 8 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 127 ways as a sum of consecutive naturals, for example, 276756415 + ... + 276756545.

It is an arithmetic number, because the mean of its divisors is an integer number (113513400).

Almost surely, 2^36255098880 is an apocalyptic number.

36255098880 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 36255098880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87178291200).

36255098880 is an abundant number, since it is smaller than the sum of its proper divisors (138101483520).

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

36255098880 is a wasteful number, since it uses less digits than its factorization.

36255098880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 36255098880 in words is "thirty-six billion, two hundred fifty-five million, ninety-eight thousand, eight hundred eighty".