55608215040 has 1280 divisors, whose sum is σ = 248898355200. Its totient is φ = 11474141184.

The previous prime is 55608215027. The next prime is 55608215051. The reversal of 55608215040 is 4051280655.

55608215040 = 354³ + 355³ + ... + 698³.

55608215040 is a `hidden beast` number, since 5 + 5 + 608 + 2 + 1 + 5 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 = 55608214986 and 55608215004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 211437949 + ... + 211438211.

It is an arithmetic number, because the mean of its divisors is an integer number (194451840).

Almost surely, 2^55608215040 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 55608215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124449177600).

55608215040 is an abundant number, since it is smaller than the sum of its proper divisors (193290140160).

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

55608215040 is a wasteful number, since it uses less digits than its factorization.

55608215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 55608215040 its reverse (4051280655), we get a palindrome (59659495695).

The spelling of 55608215040 in words is "fifty-five billion, six hundred eight million, two hundred fifteen thousand, forty".