61428254976000 has 1152 divisors, whose sum is σ = 245643870326400. Its totient is φ = 14638940160000.

The previous prime is 61428254975977. The next prime is 61428254976031. The reversal of 61428254976000 is 67945282416.

61428254976000 is a `hidden beast` number, since 6 + 1 + 4 + 2 + 8 + 25 + 4 + 9 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1495275460 + ... + 1495316540.

It is an arithmetic number, because the mean of its divisors is an integer number (213232526325).

Almost surely, 2^{61428254976000} is an apocalyptic number.

61428254976000 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 61428254976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122821935163200).

61428254976000 is an abundant number, since it is smaller than the sum of its proper divisors (184215615350400).

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

61428254976000 is a wasteful number, since it uses less digits than its factorization.

61428254976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41194 (or 41161 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 61428254976000 in words is "sixty-one trillion, four hundred twenty-eight billion, two hundred fifty-four million, nine hundred seventy-six thousand".