55536503040 has 648 divisors, whose sum is σ = 211810992120. Its totient is φ = 13902741504.

The previous prime is 55536502951. The next prime is 55536503083. The reversal of 55536503040 is 4030563555.

55536503040 is a `hidden beast` number, since 5 + 5 + 536 + 50 + 30 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5846743296 + 49689759744 = 76464^2 + 222912^2 .

It is a tau number, because it is divible by the number of its divisors (648).

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 = 55536502986 and 55536503004.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 142767166 + ... + 142767554.

It is an arithmetic number, because the mean of its divisors is an integer number (326868815).

Almost surely, 2^55536503040 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 55536503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105905496060).

55536503040 is an abundant number, since it is smaller than the sum of its proper divisors (156274489080).

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

55536503040 is an frugal number, since it uses more digits than its factorization.

55536503040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The spelling of 55536503040 in words is "fifty-five billion, five hundred thirty-six million, five hundred three thousand, forty".