61082553600000 has 2880 divisors, whose sum is σ = 245254327718400. Its totient is φ = 15109079040000.

The previous prime is 61082553599993. The next prime is 61082553600017. The reversal of 61082553600000 is 635528016.

61082553600000 is a `hidden beast` number, since 610 + 8 + 2 + 5 + 5 + 36 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 560390399946 + ... + 560390400054.

It is an arithmetic number, because the mean of its divisors is an integer number (85157752680).

Almost surely, 2^{61082553600000} is an apocalyptic number.

61082553600000 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 61082553600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122627163859200).

61082553600000 is an abundant number, since it is smaller than the sum of its proper divisors (184171774118400).

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

61082553600000 is an equidigital number, since it uses as much as digits as its factorization.

61082553600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 61082553600000 in words is "sixty-one trillion, eighty-two billion, five hundred fifty-three million, six hundred thousand".