54955584000 has 400 divisors, whose sum is σ = 204726189096. Its totient is φ = 14653440000.

The previous prime is 54955583989. The next prime is 54955584007. The reversal of 54955584000 is 48555945.

54955584000 is a `hidden beast` number, since 5 + 4 + 95 + 558 + 4 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26618575104 + 28337008896 = 163152^2 + 168336^2 .

It is a tau number, because it is divible by the number of its divisors (400).

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 (54955584007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5178700 + ... + 5189300.

Almost surely, 2^54955584000 is an apocalyptic number.

54955584000 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 54955584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102363094548).

54955584000 is an abundant number, since it is smaller than the sum of its proper divisors (149770605096).

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

54955584000 is an equidigital number, since it uses as much as digits as its factorization.

54955584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10646 (or 10611 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 54955584000 in words is "fifty-four billion, nine hundred fifty-five million, five hundred eighty-four thousand".