36108352400400 has 960 divisors, whose sum is σ = 149106597519360. Its totient is φ = 8230336750080.

The previous prime is 36108352400389. The next prime is 36108352400411. The reversal of 36108352400400 is 400425380163.

36108352400400 is a `hidden beast` number, since 3 + 6 + 1 + 0 + 8 + 3 + 5 + 240 + 0 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (36108352400389) and next prime (36108352400411).

It is a super-2 number, since 2×36108352400400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2247353167 + ... + 2247369233.

It is an arithmetic number, because the mean of its divisors is an integer number (155319372416).

Almost surely, 2^{36108352400400} is an apocalyptic number.

36108352400400 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 36108352400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74553298759680).

36108352400400 is an abundant number, since it is smaller than the sum of its proper divisors (112998245118960).

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

36108352400400 is a wasteful number, since it uses less digits than its factorization.

36108352400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16480 (or 16451 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 36108352400400 its reverse (400425380163), we get a palindrome (36508777780563).

The spelling of 36108352400400 in words is "thirty-six trillion, one hundred eight billion, three hundred fifty-two million, four hundred thousand, four hundred".