55406096640 has 432 divisors, whose sum is σ = 202154674176. Its totient is φ = 13989888000.

The previous prime is 55406096633. The next prime is 55406096717. The reversal of 55406096640 is 4669060455.

55406096640 is a `hidden beast` number, since 5 + 540 + 6 + 0 + 9 + 66 + 40 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 16782990 + ... + 16786290.

Almost surely, 2^55406096640 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 55406096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101077337088).

55406096640 is an abundant number, since it is smaller than the sum of its proper divisors (146748577536).

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

55406096640 is a wasteful number, since it uses less digits than its factorization.

55406096640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3406 (or 3389 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 55406096640 in words is "fifty-five billion, four hundred six million, ninety-six thousand, six hundred forty".