54127190208 has 448 divisors, whose sum is σ = 185244272640. Its totient is φ = 13637505024.

The previous prime is 54127190197. The next prime is 54127190261. The reversal of 54127190208 is 80209172145.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×54127190208² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67913266 + ... + 67914062.

It is an arithmetic number, because the mean of its divisors is an integer number (413491680).

Almost surely, 2^54127190208 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 54127190208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92622136320).

54127190208 is an abundant number, since it is smaller than the sum of its proper divisors (131117082432).

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

54127190208 is a wasteful number, since it uses less digits than its factorization.

54127190208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 54127190208 in words is "fifty-four billion, one hundred twenty-seven million, one hundred ninety thousand, two hundred eight".