55829910528 has 704 divisors, whose sum is σ = 203743641600. Its totient is φ = 14739701760.

The previous prime is 55829910527. The next prime is 55829910529. The reversal of 55829910528 is 82501992855.

55829910528 is a `hidden beast` number, since 5 + 5 + 8 + 29 + 91 + 0 + 528 = 666.

55829910528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55829910527) and next prime (55829910529).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55829910527) 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, 233597833 + ... + 233598071.

Almost surely, 2^55829910528 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 55829910528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101871820800).

55829910528 is an abundant number, since it is smaller than the sum of its proper divisors (147913731072).

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

55829910528 is a wasteful number, since it uses less digits than its factorization.

55829910528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 54.

The spelling of 55829910528 in words is "fifty-five billion, eight hundred twenty-nine million, nine hundred ten thousand, five hundred twenty-eight".