55528935000 has 640 divisors, whose sum is σ = 218522050560. Its totient is φ = 11419200000.

The previous prime is 55528934987. The next prime is 55528935017. The reversal of 55528935000 is 53982555.

55528935000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 151304817 + ... + 151305183.

It is an arithmetic number, because the mean of its divisors is an integer number (341440704).

Almost surely, 2^55528935000 is an apocalyptic number.

55528935000 is a gapful number since it is divisible by the number (50) 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 55528935000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109261025280).

55528935000 is an abundant number, since it is smaller than the sum of its proper divisors (162993115560).

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

55528935000 is a wasteful number, since it uses less digits than its factorization.

55528935000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 42.

It can be divided in two parts, 55528 and 935000, that added together give a triangular number (990528 = T₁₄₀₇).

The spelling of 55528935000 in words is "fifty-five billion, five hundred twenty-eight million, nine hundred thirty-five thousand".