36168812400 has 720 divisors, whose sum is σ = 144105348096. Its totient is φ = 7591280640.

The previous prime is 36168812399. The next prime is 36168812401. The reversal of 36168812400 is 421886163.

36168812400 = T₄₁₀ + T₄₁₁ + ... + T₆₀₀₉.

It is an interprime number because it is at equal distance from previous prime (36168812399) and next prime (36168812401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36168812401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 114097042 + ... + 114097358.

Almost surely, 2^36168812400 is an apocalyptic number.

36168812400 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 36168812400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72052674048).

36168812400 is an abundant number, since it is smaller than the sum of its proper divisors (107936535696).

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

36168812400 is a wasteful number, since it uses less digits than its factorization.

36168812400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 36168812400 in words is "thirty-six billion, one hundred sixty-eight million, eight hundred twelve thousand, four hundred".