55785369600 has 312 divisors, whose sum is σ = 204944717520. Its totient is φ = 14875361280.

The previous prime is 55785369583. The next prime is 55785369613. The reversal of 55785369600 is 696358755.

55785369600 is a `hidden beast` number, since 5 + 578 + 5 + 3 + 6 + 9 + 60 + 0 = 666.

It is a super-2 number, since 2×55785369600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2754712 + ... + 2774888.

Almost surely, 2^55785369600 is an apocalyptic number.

55785369600 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 55785369600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102472358760).

55785369600 is an abundant number, since it is smaller than the sum of its proper divisors (149159347920).

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

55785369600 is a wasteful number, since it uses less digits than its factorization.

55785369600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20220 (or 20187 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 55785369600 in words is "fifty-five billion, seven hundred eighty-five million, three hundred sixty-nine thousand, six hundred".