55257298200 has 384 divisors, whose sum is σ = 205711833600. Its totient is φ = 13552704000.

The previous prime is 55257298199. The next prime is 55257298211. The reversal of 55257298200 is 289275255.

55257298200 is a `hidden beast` number, since 5 + 52 + 572 + 9 + 8 + 20 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21830935 + ... + 21833465.

It is an arithmetic number, because the mean of its divisors is an integer number (535707900).

Almost surely, 2^55257298200 is an apocalyptic number.

55257298200 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 55257298200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102855916800).

55257298200 is an abundant number, since it is smaller than the sum of its proper divisors (150454535400).

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

55257298200 is a wasteful number, since it uses less digits than its factorization.

55257298200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 55257298200 in words is "fifty-five billion, two hundred fifty-seven million, two hundred ninety-eight thousand, two hundred".