36052518378240 has 864 divisors, whose sum is σ = 155249027256960. Its totient is φ = 7521197359104.

The previous prime is 36052518378229. The next prime is 36052518378319. The reversal of 36052518378240 is 4287381525063.

36052518378240 is a `hidden beast` number, since 3 + 6 + 0 + 5 + 2 + 518 + 3 + 7 + 82 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93107274 + ... + 93493686.

It is an arithmetic number, because the mean of its divisors is an integer number (179686374140).

Almost surely, 2^{36052518378240} is an apocalyptic number.

36052518378240 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 36052518378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77624513628480).

36052518378240 is an abundant number, since it is smaller than the sum of its proper divisors (119196508878720).

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

36052518378240 is a wasteful number, since it uses less digits than its factorization.

36052518378240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386549 (or 386532 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 36052518378240 in words is "thirty-six trillion, fifty-two billion, five hundred eighteen million, three hundred seventy-eight thousand, two hundred forty".