55827963906624 has 2240 divisors, whose sum is σ = 216280813056000. Its totient is φ = 14217986764800.

The previous prime is 55827963906607. The next prime is 55827963906643. The reversal of 55827963906624 is 42660936972855.

55827963906624 is a `hidden beast` number, since 5 + 58 + 27 + 96 + 390 + 66 + 24 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 121101873754 + ... + 121101874214.

It is an arithmetic number, because the mean of its divisors is an integer number (96553934400).

Almost surely, 2^{55827963906624} is an apocalyptic number.

55827963906624 is a gapful number since it is divisible by the number (54) 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 55827963906624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108140406528000).

55827963906624 is an abundant number, since it is smaller than the sum of its proper divisors (160452849149376).

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

55827963906624 is an equidigital number, since it uses as much as digits as its factorization.

55827963906624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 72.

The spelling of 55827963906624 in words is "fifty-five trillion, eight hundred twenty-seven billion, nine hundred sixty-three million, nine hundred six thousand, six hundred twenty-four".