61459599360 has 416 divisors, whose sum is σ = 203195513088. Its totient is φ = 15854469120.

The previous prime is 61459599359. The next prime is 61459599371. The reversal of 61459599360 is 6399595416.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 61459599360.

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 31 ways as a sum of consecutive naturals, for example, 318443424 + ... + 318443616.

Almost surely, 2^61459599360 is an apocalyptic number.

61459599360 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 61459599360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101597756544).

61459599360 is an abundant number, since it is smaller than the sum of its proper divisors (141735913728).

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

61459599360 is a wasteful number, since it uses less digits than its factorization.

61459599360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 7873200, while the sum is 57.

The spelling of 61459599360 in words is "sixty-one billion, four hundred fifty-nine million, five hundred ninety-nine thousand, three hundred sixty".