55681863728400 has 900 divisors, whose sum is σ = 247305708927552. Its totient is φ = 11748253271040.

The previous prime is 55681863728389. The next prime is 55681863728441. The reversal of 55681863728400 is 482736818655.

55681863728400 is a `hidden beast` number, since 5 + 5 + 6 + 8 + 186 + 372 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 37602837 + ... + 39055563.

Almost surely, 2^{55681863728400} is an apocalyptic number.

55681863728400 is a gapful number since it is divisible by the number (50) 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 55681863728400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123652854463776).

55681863728400 is an abundant number, since it is smaller than the sum of its proper divisors (191623845199152).

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

55681863728400 is a wasteful number, since it uses less digits than its factorization.

55681863728400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452790 (or 1452757 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 55681863728400 in words is "fifty-five trillion, six hundred eighty-one billion, eight hundred sixty-three million, seven hundred twenty-eight thousand, four hundred".