36661155120 has 320 divisors, whose sum is σ = 133330752000. Its totient is φ = 9233409024.

The previous prime is 36661155103. The next prime is 36661155131. The reversal of 36661155120 is 2155116663.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15552982 + ... + 15555338.

It is an arithmetic number, because the mean of its divisors is an integer number (416658600).

Almost surely, 2^36661155120 is an apocalyptic number.

36661155120 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 36661155120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66665376000).

36661155120 is an abundant number, since it is smaller than the sum of its proper divisors (96669596880).

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

36661155120 is a wasteful number, since it uses less digits than its factorization.

36661155120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2777 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 36661155120 in words is "thirty-six billion, six hundred sixty-one million, one hundred fifty-five thousand, one hundred twenty".