55580406336 has 1176 divisors, whose sum is σ = 219476848320. Its totient is φ = 13625044992.

The previous prime is 55580406331. The next prime is 55580406337. The reversal of 55580406336 is 63360408555.

55580406336 is a `hidden beast` number, since 5 + 5 + 5 + 8 + 0 + 4 + 0 + 633 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 55580406291 and 55580406300.

It is not an unprimeable number, because it can be changed into a prime (55580406331) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1048686886 + ... + 1048686938.

Almost surely, 2^55580406336 is an apocalyptic number.

55580406336 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55580406336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109738424160).

55580406336 is an abundant number, since it is smaller than the sum of its proper divisors (163896441984).

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

55580406336 is a wasteful number, since it uses less digits than its factorization.

55580406336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 55580406336 in words is "fifty-five billion, five hundred eighty million, four hundred six thousand, three hundred thirty-six".