55290220128 has 648 divisors, whose sum is σ = 193830803712. Its totient is φ = 14849049600.

The previous prime is 55290220123. The next prime is 55290220133. The reversal of 55290220128 is 82102209255.

55290220128 is a `hidden beast` number, since 5 + 529 + 0 + 2 + 2 + 0 + 128 = 666.

It is an interprime number because it is at equal distance from previous prime (55290220123) and next prime (55290220133).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 55290220092 and 55290220101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55290220123) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 435356001 + ... + 435356127.

Almost surely, 2^55290220128 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 55290220128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96915401856).

55290220128 is an abundant number, since it is smaller than the sum of its proper divisors (138540583584).

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

55290220128 is a wasteful number, since it uses less digits than its factorization.

55290220128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 55290220128 in words is "fifty-five billion, two hundred ninety million, two hundred twenty thousand, one hundred twenty-eight".