61205528160 has 1152 divisors, whose sum is σ = 262485909504. Its totient is φ = 12684165120.

The previous prime is 61205528149. The next prime is 61205528233. The reversal of 61205528160 is 6182550216.

61205528160 is a `hidden beast` number, since 6 + 1 + 20 + 552 + 81 + 6 + 0 = 666.

It is a super-2 number, since 2×61205528160² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 446755612 + ... + 446755748.

It is an arithmetic number, because the mean of its divisors is an integer number (227852352).

Almost surely, 2^61205528160 is an apocalyptic number.

61205528160 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 61205528160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131242954752).

61205528160 is an abundant number, since it is smaller than the sum of its proper divisors (201280381344).

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

61205528160 is a wasteful number, since it uses less digits than its factorization.

61205528160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 61205528160 in words is "sixty-one billion, two hundred five million, five hundred twenty-eight thousand, one hundred sixty".