55209233952 has 288 divisors, whose sum is σ = 166348728000. Its totient is φ = 17342760960.

The previous prime is 55209233929. The next prime is 55209233969. The reversal of 55209233952 is 25933290255.

55209233952 is a `hidden beast` number, since 5 + 520 + 9 + 2 + 33 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 55209233898 and 55209233907.

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, 89190699 + ... + 89191317.

It is an arithmetic number, because the mean of its divisors is an integer number (577599750).

Almost surely, 2^55209233952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55209233952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83174364000).

55209233952 is an abundant number, since it is smaller than the sum of its proper divisors (111139494048).

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

55209233952 is a wasteful number, since it uses less digits than its factorization.

55209233952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 45.

The spelling of 55209233952 in words is "fifty-five billion, two hundred nine million, two hundred thirty-three thousand, nine hundred fifty-two".