61339053384000 has 2016 divisors, whose sum is σ = 265389798570624. Its totient is φ = 13983711436800.

The previous prime is 61339053383963. The next prime is 61339053384071. The reversal of 61339053384000 is 48335093316.

61339053384000 is a `hidden beast` number, since 6 + 1 + 3 + 39 + 0 + 533 + 84 + 0 + 0 + 0 = 666.

61339053384000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2016).

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 (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 55915271452 + ... + 55915272548.

It is an arithmetic number, because the mean of its divisors is an integer number (131641765164).

Almost surely, 2^{61339053384000} is an apocalyptic number.

61339053384000 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 61339053384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132694899285312).

61339053384000 is an abundant number, since it is smaller than the sum of its proper divisors (204050745186624).

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

61339053384000 is a wasteful number, since it uses less digits than its factorization.

61339053384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 61339053384000 in words is "sixty-one trillion, three hundred thirty-nine billion, fifty-three million, three hundred eighty-four thousand".