55090584000 has 224 divisors, whose sum is σ = 202122024000. Its totient is φ = 14690764800.

The previous prime is 55090583981. The next prime is 55090584001. The reversal of 55090584000 is 48509055.

It is a happy number.

55090584000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×55090584000³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (55090584001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88476 + ... + 343524.

Almost surely, 2^55090584000 is an apocalyptic number.

55090584000 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 55090584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101061012000).

55090584000 is an abundant number, since it is smaller than the sum of its proper divisors (147031440000).

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

55090584000 is a wasteful number, since it uses less digits than its factorization.

55090584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255085 (or 255059 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 55090584000 in words is "fifty-five billion, ninety million, five hundred eighty-four thousand".