55685246400 has 378 divisors, whose sum is σ = 230234657640. Its totient is φ = 12727895040.

The previous prime is 55685246399. The next prime is 55685246429. The reversal of 55685246400 is 464258655.

55685246400 is a `hidden beast` number, since 5 + 5 + 68 + 524 + 64 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 53 ways as a sum of consecutive naturals, for example, 666141 + ... + 745059.

Almost surely, 2^55685246400 is an apocalyptic number.

55685246400 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 55685246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115117328820).

55685246400 is an abundant number, since it is smaller than the sum of its proper divisors (174549411240).

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

55685246400 is a wasteful number, since it uses less digits than its factorization.

55685246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78961 (or 78936 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 55685246400 in words is "fifty-five billion, six hundred eighty-five million, two hundred forty-six thousand, four hundred".