61319868825600 has 4320 divisors, whose sum is σ = 291701249925120. Its totient is φ = 12641461862400.

The previous prime is 61319868825599. The next prime is 61319868825617. The reversal of 61319868825600 is 652886891316.

61319868825600 is a `hidden beast` number, since 6 + 1 + 3 + 1 + 9 + 8 + 68 + 8 + 2 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 482833612737 + ... + 482833612863.

Almost surely, 2^{61319868825600} is an apocalyptic number.

61319868825600 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 61319868825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145850624962560).

61319868825600 is an abundant number, since it is smaller than the sum of its proper divisors (230381381099520).

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

61319868825600 is an equidigital number, since it uses as much as digits as its factorization.

61319868825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 61319868825600 in words is "sixty-one trillion, three hundred nineteen billion, eight hundred sixty-eight million, eight hundred twenty-five thousand, six hundred".