55062811440 has 960 divisors, whose sum is σ = 241784524800. Its totient is φ = 10912112640.

The previous prime is 55062811409. The next prime is 55062811499. The reversal of 55062811440 is 4411826055.

It is a happy number.

55062811440 is a `hidden beast` number, since 5 + 506 + 2 + 8 + 1 + 144 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 55062811395 and 55062811404.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 91924261 + ... + 91924859.

It is an arithmetic number, because the mean of its divisors is an integer number (251858880).

Almost surely, 2^55062811440 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 55062811440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120892262400).

55062811440 is an abundant number, since it is smaller than the sum of its proper divisors (186721713360).

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

55062811440 is a wasteful number, since it uses less digits than its factorization.

55062811440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 55062811440 in words is "fifty-five billion, sixty-two million, eight hundred eleven thousand, four hundred forty".