61543022220288 has 2112 divisors, whose sum is σ = 231106412666880. Its totient is φ = 16068702633984.

The previous prime is 61543022220257. The next prime is 61543022220307. The reversal of 61543022220288 is 88202222034516.

61543022220288 is a `hidden beast` number, since 6 + 1 + 5 + 430 + 2 + 2 + 2 + 202 + 8 + 8 = 666.

61543022220288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 155020206906 + ... + 155020207302.

Almost surely, 2^{61543022220288} is an apocalyptic number.

61543022220288 is a gapful number since it is divisible by the number (68) 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 61543022220288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115553206333440).

61543022220288 is an abundant number, since it is smaller than the sum of its proper divisors (169563390446592).

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

61543022220288 is a wasteful number, since it uses less digits than its factorization.

61543022220288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 61543022220288 in words is "sixty-one trillion, five hundred forty-three billion, twenty-two million, two hundred twenty thousand, two hundred eighty-eight".