55080829440 has 1440 divisors, whose sum is σ = 249608399040. Its totient is φ = 11537842176.

The previous prime is 55080829423. The next prime is 55080829451. The reversal of 55080829440 is 4492808055.

55080829440 is a `hidden beast` number, since 5 + 50 + 80 + 82 + 9 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 396264891 + ... + 396265029.

It is an arithmetic number, because the mean of its divisors is an integer number (173339166).

Almost surely, 2^55080829440 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 55080829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124804199520).

55080829440 is an abundant number, since it is smaller than the sum of its proper divisors (194527569600).

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

55080829440 is a wasteful number, since it uses less digits than its factorization.

55080829440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 55080829440 in words is "fifty-five billion, eighty million, eight hundred twenty-nine thousand, four hundred forty".