61033166400 has 168 divisors, whose sum is σ = 200760543360. Its totient is φ = 16233175040.

The previous prime is 61033166393. The next prime is 61033166407. The reversal of 61033166400 is 466133016.

It is an interprime number because it is at equal distance from previous prime (61033166393) and next prime (61033166407).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (61033166407) 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 23 ways as a sum of consecutive naturals, for example, 1850857 + ... + 1883543.

Almost surely, 2^61033166400 is an apocalyptic number.

61033166400 is a gapful number since it is divisible by the number (60) 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 61033166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100380271680).

61033166400 is an abundant number, since it is smaller than the sum of its proper divisors (139727376960).

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

61033166400 is a wasteful number, since it uses less digits than its factorization.

61033166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33101 (or 33086 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 61033166400 its reverse (466133016), we get a palindrome (61499299416).

The spelling of 61033166400 in words is "sixty-one billion, thirty-three million, one hundred sixty-six thousand, four hundred".