55097452800 has 432 divisors, whose sum is σ = 217586906880. Its totient is φ = 13561896960.

The previous prime is 55097452777. The next prime is 55097452807. The reversal of 55097452800 is 825479055.

55097452800 is a `hidden beast` number, since 5 + 50 + 9 + 74 + 528 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (55097452807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2234137 + ... + 2258663.

Almost surely, 2^55097452800 is an apocalyptic number.

55097452800 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 55097452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108793453440).

55097452800 is an abundant number, since it is smaller than the sum of its proper divisors (162489454080).

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

55097452800 is a wasteful number, since it uses less digits than its factorization.

55097452800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24575 (or 24550 counting only the distinct ones).

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

The spelling of 55097452800 in words is "fifty-five billion, ninety-seven million, four hundred fifty-two thousand, eight hundred".