61260366484800 has 504 divisors, whose sum is σ = 258054893526976. Its totient is φ = 14002368860160.

The previous prime is 61260366484787. The next prime is 61260366484853. The reversal of 61260366484800 is 848466306216.

61260366484800 is a `hidden beast` number, since 6 + 1 + 2 + 60 + 3 + 66 + 48 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8532877 + ... + 13976076.

Almost surely, 2^{61260366484800} is an apocalyptic number.

61260366484800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61260366484800 is an abundant number, since it is smaller than the sum of its proper divisors (196794527042176).

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

61260366484800 is a wasteful number, since it uses less digits than its factorization.

61260366484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22508997 (or 22508970 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 61260366484800 in words is "sixty-one trillion, two hundred sixty billion, three hundred sixty-six million, four hundred eighty-four thousand, eight hundred".