55738668585600 has 4608 divisors, whose sum is σ = 282889518912000. Its totient is φ = 10423074816000.

The previous prime is 55738668585553. The next prime is 55738668585629. The reversal of 55738668585600 is 658586683755.

55738668585600 is a `hidden beast` number, since 5 + 5 + 7 + 3 + 8 + 6 + 6 + 8 + 5 + 8 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 575 ways as a sum of consecutive naturals, for example, 39005365686 + ... + 39005367114.

It is an arithmetic number, because the mean of its divisors is an integer number (61390954625).

Almost surely, 2^{55738668585600} is an apocalyptic number.

55738668585600 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 55738668585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141444759456000).

55738668585600 is an abundant number, since it is smaller than the sum of its proper divisors (227150850326400).

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

55738668585600 is a wasteful number, since it uses less digits than its factorization.

55738668585600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 1451520000, while the sum is 72.

The spelling of 55738668585600 in words is "fifty-five trillion, seven hundred thirty-eight billion, six hundred sixty-eight million, five hundred eighty-five thousand, six hundred".