55780558848 has 768 divisors, whose sum is σ = 205208640000. Its totient is φ = 14913110016.

The previous prime is 55780558843. The next prime is 55780558849. The reversal of 55780558848 is 84885508755.

55780558848 is a `hidden beast` number, since 5 + 5 + 7 + 8 + 0 + 5 + 588 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×55780558848² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (55780558843) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 322430890 + ... + 322431062.

It is an arithmetic number, because the mean of its divisors is an integer number (267198750).

Almost surely, 2^55780558848 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 55780558848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102604320000).

55780558848 is an abundant number, since it is smaller than the sum of its proper divisors (149428081152).

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

55780558848 is a wasteful number, since it uses less digits than its factorization.

55780558848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 71680000, while the sum is 63.

The spelling of 55780558848 in words is "fifty-five billion, seven hundred eighty million, five hundred fifty-eight thousand, eight hundred forty-eight".