55105062013440 has 640 divisors, whose sum is σ = 210831598771200. Its totient is φ = 13597514219520.

The previous prime is 55105062013399. The next prime is 55105062013531. The reversal of 55105062013440 is 4431026050155.

55105062013440 is a `hidden beast` number, since 5 + 5 + 1 + 0 + 5 + 0 + 6 + 201 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 = 55105062013395 and 55105062013404.

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 63 ways as a sum of consecutive naturals, for example, 55983135 + ... + 56958945.

It is an arithmetic number, because the mean of its divisors is an integer number (329424373080).

Almost surely, 2^{55105062013440} 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 55105062013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105415799385600).

55105062013440 is an abundant number, since it is smaller than the sum of its proper divisors (155726536757760).

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

55105062013440 is a wasteful number, since it uses less digits than its factorization.

55105062013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975905 (or 975883 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 55105062013440 its reverse (4431026050155), we get a palindrome (59536088063595).

The spelling of 55105062013440 in words is "fifty-five trillion, one hundred five billion, sixty-two million, thirteen thousand, four hundred forty".