55779600 has 240 divisors, whose sum is σ = 194844672. Its totient is φ = 13601280.

The previous prime is 55779599. The next prime is 55779613. The reversal of 55779600 is 697755.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×55779600² = 6222727552320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1186777 + ... + 1186823.

Almost surely, 2^55779600 is an apocalyptic number.

55779600 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 55779600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97422336).

55779600 is an abundant number, since it is smaller than the sum of its proper divisors (139065072).

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

55779600 is a wasteful number, since it uses less digits than its factorization.

55779600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 39.

The square root of 55779600 is about 7468.5741611100. The cubic root of 55779600 is about 382.0836599385.

The spelling of 55779600 in words is "fifty-five million, seven hundred seventy-nine thousand, six hundred".