36812523112800 has 288 divisors, whose sum is σ = 121207890011040. Its totient is φ = 9703426867200.

The previous prime is 36812523112769. The next prime is 36812523112829. The reversal of 36812523112800 is 821132521863.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 754624410 + ... + 754673190.

It is an arithmetic number, because the mean of its divisors is an integer number (420860729205).

Almost surely, 2^{36812523112800} is an apocalyptic number.

36812523112800 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 36812523112800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60603945005520).

36812523112800 is an abundant number, since it is smaller than the sum of its proper divisors (84395366898240).

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

36812523112800 is a wasteful number, since it uses less digits than its factorization.

36812523112800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52426 (or 52413 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 36812523112800 in words is "thirty-six trillion, eight hundred twelve billion, five hundred twenty-three million, one hundred twelve thousand, eight hundred".