55840752000 has 640 divisors, whose sum is σ = 226305874080. Its totient is φ = 13533696000.

The previous prime is 55840751983. The next prime is 55840752007. The reversal of 55840752000 is 25704855.

It is a happy number.

55840752000 is a `hidden beast` number, since 5 + 584 + 0 + 75 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55840752007) 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 79 ways as a sum of consecutive naturals, for example, 14254042 + ... + 14257958.

Almost surely, 2^55840752000 is an apocalyptic number.

55840752000 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 55840752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113152937040).

55840752000 is an abundant number, since it is smaller than the sum of its proper divisors (170465122080).

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

55840752000 is a wasteful number, since it uses less digits than its factorization.

55840752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3969 (or 3938 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The spelling of 55840752000 in words is "fifty-five billion, eight hundred forty million, seven hundred fifty-two thousand".