54212272128 has 672 divisors, whose sum is σ = 195790742784. Its totient is φ = 14099152896.

The previous prime is 54212272109. The next prime is 54212272133. The reversal of 54212272128 is 82127221245.

It is a happy number.

54212272128 is a `hidden beast` number, since 5 + 421 + 227 + 2 + 1 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 54212272092 and 54212272101.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 324624301 + ... + 324624467.

It is an arithmetic number, because the mean of its divisors is an integer number (291355272).

Almost surely, 2^54212272128 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 54212272128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97895371392).

54212272128 is an abundant number, since it is smaller than the sum of its proper divisors (141578470656).

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

54212272128 is a wasteful number, since it uses less digits than its factorization.

54212272128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 233 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The spelling of 54212272128 in words is "fifty-four billion, two hundred twelve million, two hundred seventy-two thousand, one hundred twenty-eight".