55711800 has 240 divisors, whose sum is σ = 204804600. Its totient is φ = 13996800.

The previous prime is 55711769. The next prime is 55711801. The reversal of 55711800 is 811755.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55711801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 307710 + ... + 307890.

Almost surely, 2^55711800 is an apocalyptic number.

55711800 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 55711800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102402300).

55711800 is an abundant number, since it is smaller than the sum of its proper divisors (149092800).

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

55711800 is a wasteful number, since it uses less digits than its factorization.

55711800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

The square root of 55711800 is about 7464.0337619815. The cubic root of 55711800 is about 381.9287898475.

The spelling of 55711800 in words is "fifty-five million, seven hundred eleven thousand, eight hundred".