55580787360 has 1152 divisors, whose sum is σ = 244653986304. Its totient is φ = 11625431040.

The previous prime is 55580787349. The next prime is 55580787371. The reversal of 55580787360 is 6378708555.

55580787360 is a `hidden beast` number, since 5 + 558 + 0 + 7 + 87 + 3 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (55580787349) and next prime (55580787371).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 55580787297 and 55580787306.

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 191 ways as a sum of consecutive naturals, for example, 189695374 + ... + 189695666.

It is an arithmetic number, because the mean of its divisors is an integer number (212373252).

Almost surely, 2^55580787360 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 55580787360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122326993152).

55580787360 is an abundant number, since it is smaller than the sum of its proper divisors (189073198944).

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

55580787360 is a wasteful number, since it uses less digits than its factorization.

55580787360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 55580787360 in words is "fifty-five billion, five hundred eighty million, seven hundred eighty-seven thousand, three hundred sixty".