61559398152 has 384 divisors, whose sum is σ = 199180800000. Its totient is φ = 17164877184.

The previous prime is 61559398151. The next prime is 61559398183. The reversal of 61559398152 is 25189395516.

61559398152 is a `hidden beast` number, since 6 + 1 + 559 + 3 + 9 + 81 + 5 + 2 = 666.

It is a super-2 number, since 2×61559398152² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61559398151) 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 95 ways as a sum of consecutive naturals, for example, 271186663 + ... + 271186889.

It is an arithmetic number, because the mean of its divisors is an integer number (518700000).

Almost surely, 2^61559398152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61559398152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99590400000).

61559398152 is an abundant number, since it is smaller than the sum of its proper divisors (137621401848).

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

61559398152 is a wasteful number, since it uses less digits than its factorization.

61559398152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 457 counting only the distinct ones).

The product of its digits is 2916000, while the sum is 54.

The spelling of 61559398152 in words is "sixty-one billion, five hundred fifty-nine million, three hundred ninety-eight thousand, one hundred fifty-two".