61054221600 has 432 divisors, whose sum is σ = 231113223432. Its totient is φ = 15111290880.

The previous prime is 61054221559. The next prime is 61054221601. The reversal of 61054221600 is 612245016.

61054221600 is a `hidden beast` number, since 6 + 1 + 0 + 54 + 2 + 2 + 1 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2917296144 + 58136925456 = 54012^2 + 241116^2 .

It is not an unprimeable number, because it can be changed into a prime (61054221601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8931784 + ... + 8938616.

Almost surely, 2^61054221600 is an apocalyptic number.

61054221600 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 61054221600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115556611716).

61054221600 is an abundant number, since it is smaller than the sum of its proper divisors (170059001832).

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

61054221600 is a wasteful number, since it uses less digits than its factorization.

61054221600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6949 (or 6933 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 61054221600 its reverse (612245016), we get a palindrome (61666466616).

The spelling of 61054221600 in words is "sixty-one billion, fifty-four million, two hundred twenty-one thousand, six hundred".