55801200 has 360 divisors, whose sum is σ = 226995888. Its totient is φ = 11612160.

The previous prime is 55801199. The next prime is 55801201. The reversal of 55801200 is 210855.

It is an interprime number because it is at equal distance from previous prime (55801199) and next prime (55801201).

It is a super-2 number, since 2×55801200² = 6227547842880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55801201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 764364 + ... + 764436.

Almost surely, 2^55801200 is an apocalyptic number.

55801200 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 55801200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113497944).

55801200 is an abundant number, since it is smaller than the sum of its proper divisors (171194688).

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

55801200 is a wasteful number, since it uses less digits than its factorization.

55801200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 55801200 is about 7470.0200802943. The cubic root of 55801200 is about 382.1329727218.

The spelling of 55801200 in words is "fifty-five million, eight hundred one thousand, two hundred".