36518906229120 has 2048 divisors, whose sum is σ = 153645880320000. Its totient is φ = 8026324992000.

The previous prime is 36518906229079. The next prime is 36518906229131. The reversal of 36518906229120 is 2192260981563.

36518906229120 is a `hidden beast` number, since 3 + 6 + 5 + 1 + 8 + 9 + 0 + 622 + 9 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 81333866656 + ... + 81333867104.

It is an arithmetic number, because the mean of its divisors is an integer number (75022402500).

Almost surely, 2^{36518906229120} is an apocalyptic number.

36518906229120 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 36518906229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76822940160000).

36518906229120 is an abundant number, since it is smaller than the sum of its proper divisors (117126974090880).

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

36518906229120 is a wasteful number, since it uses less digits than its factorization.

36518906229120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 36518906229120 in words is "thirty-six trillion, five hundred eighteen billion, nine hundred six million, two hundred twenty-nine thousand, one hundred twenty".