54076958208 has 1200 divisors, whose sum is σ = 213362281440. Its totient is φ = 13488685056.

The previous prime is 54076958203. The next prime is 54076958209. The reversal of 54076958208 is 80285967045.

54076958208 is a `hidden beast` number, since 54 + 0 + 7 + 6 + 9 + 582 + 0 + 8 = 666.

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 (54076958203) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 607606228 + ... + 607606316.

Almost surely, 2^54076958208 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 54076958208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106681140720).

54076958208 is an abundant number, since it is smaller than the sum of its proper divisors (159285323232).

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

54076958208 is a wasteful number, since it uses less digits than its factorization.

54076958208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 54076958208 in words is "fifty-four billion, seventy-six million, nine hundred fifty-eight thousand, two hundred eight".