55388249280 has 672 divisors, whose sum is σ = 241855142400. Its totient is φ = 11684155392.

The previous prime is 55388249201. The next prime is 55388249297. The reversal of 55388249280 is 8294288355.

It is a happy number.

55388249280 is a `hidden beast` number, since 5 + 538 + 8 + 24 + 9 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10218411 + ... + 10223829.

Almost surely, 2^55388249280 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 55388249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120927571200).

55388249280 is an abundant number, since it is smaller than the sum of its proper divisors (186466893120).

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

55388249280 is a wasteful number, since it uses less digits than its factorization.

55388249280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5478 (or 5449 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 55388249280 in words is "fifty-five billion, three hundred eighty-eight million, two hundred forty-nine thousand, two hundred eighty".