61602599520 has 1344 divisors, whose sum is σ = 287158556160. Its totient is φ = 12126827520.

The previous prime is 61602599473. The next prime is 61602599599. The reversal of 61602599520 is 2599520616.

It is a happy number.

61602599520 is a `hidden beast` number, since 6 + 1 + 6 + 0 + 2 + 599 + 52 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3242242071 + ... + 3242242089.

It is an arithmetic number, because the mean of its divisors is an integer number (213659640).

Almost surely, 2^61602599520 is an apocalyptic number.

61602599520 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 61602599520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143579278080).

61602599520 is an abundant number, since it is smaller than the sum of its proper divisors (225555956640).

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

61602599520 is an equidigital number, since it uses as much as digits as its factorization.

61602599520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 61602599520 in words is "sixty-one billion, six hundred two million, five hundred ninety-nine thousand, five hundred twenty".