61535649982500 has 420 divisors, whose sum is σ = 206449228912080. Its totient is φ = 16027869816000.

The previous prime is 61535649982493. The next prime is 61535649982531. The reversal of 61535649982500 is 528994653516.

61535649982500 is a `hidden beast` number, since 6 + 1 + 5 + 3 + 5 + 6 + 49 + 9 + 82 + 500 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 77974891 + ... + 78760109.

It is an arithmetic number, because the mean of its divisors is an integer number (491545783124).

Almost surely, 2^{61535649982500} is an apocalyptic number.

61535649982500 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 61535649982500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103224614456040).

61535649982500 is an abundant number, since it is smaller than the sum of its proper divisors (144913578929580).

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

61535649982500 is an equidigital number, since it uses as much as digits as its factorization.

61535649982500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785304 (or 785272 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 63.

The spelling of 61535649982500 in words is "sixty-one trillion, five hundred thirty-five billion, six hundred forty-nine million, nine hundred eighty-two thousand, five hundred".