55608762240 has 768 divisors, whose sum is σ = 214773811200. Its totient is φ = 13198049280.

The previous prime is 55608762239. The next prime is 55608762317. The reversal of 55608762240 is 4226780655.

55608762240 is a `hidden beast` number, since 5 + 560 + 8 + 7 + 62 + 24 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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 95 ways as a sum of consecutive naturals, for example, 125527459 + ... + 125527901.

It is an arithmetic number, because the mean of its divisors is an integer number (279653400).

Almost surely, 2^55608762240 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 55608762240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107386905600).

55608762240 is an abundant number, since it is smaller than the sum of its proper divisors (159165048960).

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

55608762240 is a wasteful number, since it uses less digits than its factorization.

55608762240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 55608762240 in words is "fifty-five billion, six hundred eight million, seven hundred sixty-two thousand, two hundred forty".