55704693600 has 576 divisors, whose sum is σ = 217066106880. Its totient is φ = 13746585600.

The previous prime is 55704693599. The next prime is 55704693607. The reversal of 55704693600 is 639640755.

55704693600 is a `hidden beast` number, since 5 + 570 + 46 + 9 + 36 + 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 not an unprimeable number, because it can be changed into a prime (55704693607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15398992 + ... + 15402608.

It is an arithmetic number, because the mean of its divisors is an integer number (376850880).

Almost surely, 2^55704693600 is an apocalyptic number.

55704693600 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 55704693600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108533053440).

55704693600 is an abundant number, since it is smaller than the sum of its proper divisors (161361413280).

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

55704693600 is a wasteful number, since it uses less digits than its factorization.

55704693600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3700 (or 3681 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 55704693600 in words is "fifty-five billion, seven hundred four million, six hundred ninety-three thousand, six hundred".