36150843801600 has 2280 divisors, whose sum is σ = 150657333938496. Its totient is φ = 8493465600000.

The previous prime is 36150843801509. The next prime is 36150843801607. The reversal of 36150843801600 is 610834805163.

36150843801600 is a `hidden beast` number, since 3 + 6 + 1 + 5 + 0 + 8 + 4 + 38 + 0 + 1 + 600 = 666.

It is a super-2 number, since 2×36150843801600² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36150843801607) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 239409561525 + ... + 239409561675.

Almost surely, 2^{36150843801600} is an apocalyptic number.

36150843801600 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 36150843801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75328666969248).

36150843801600 is an abundant number, since it is smaller than the sum of its proper divisors (114506490136896).

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

36150843801600 is an equidigital number, since it uses as much as digits as its factorization.

36150843801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 36150843801600 in words is "thirty-six trillion, one hundred fifty billion, eight hundred forty-three million, eight hundred one thousand, six hundred".