36155306880 has 1024 divisors, whose sum is σ = 165328128000. Its totient is φ = 7245987840.

The previous prime is 36155306861. The next prime is 36155306897. The reversal of 36155306880 is 8860355163.

36155306880 is a `hidden beast` number, since 36 + 1 + 5 + 530 + 6 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 38585772 + ... + 38586708.

It is an arithmetic number, because the mean of its divisors is an integer number (161453250).

Almost surely, 2^36155306880 is an apocalyptic number.

36155306880 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 36155306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82664064000).

36155306880 is an abundant number, since it is smaller than the sum of its proper divisors (129172821120).

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

36155306880 is a wasteful number, since it uses less digits than its factorization.

36155306880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 36155306880 in words is "thirty-six billion, one hundred fifty-five million, three hundred six thousand, eight hundred eighty".