55219032960 has 1152 divisors, whose sum is σ = 232880002560. Its totient is φ = 11070259200.

The previous prime is 55219032949. The next prime is 55219033007. The reversal of 55219032960 is 6923091255.

55219032960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 365688885 + ... + 365689035.

It is an arithmetic number, because the mean of its divisors is an integer number (202152780).

Almost surely, 2^55219032960 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 55219032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116440001280).

55219032960 is an abundant number, since it is smaller than the sum of its proper divisors (177660969600).

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

55219032960 is a wasteful number, since it uses less digits than its factorization.

55219032960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 42.

The spelling of 55219032960 in words is "fifty-five billion, two hundred nineteen million, thirty-two thousand, nine hundred sixty".