54638980704 has 576 divisors, whose sum is σ = 201739507200. Its totient is φ = 14082647040.

The previous prime is 54638980673. The next prime is 54638980709. The reversal of 54638980704 is 40708983645.

54638980704 is a `hidden beast` number, since 546 + 3 + 8 + 98 + 0 + 7 + 0 + 4 = 666.

54638980704 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54638980709) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 144165987 + ... + 144166365.

It is an arithmetic number, because the mean of its divisors is an integer number (350242200).

Almost surely, 2^54638980704 is an apocalyptic number.

54638980704 is a gapful number since it is divisible by the number (54) 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 54638980704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100869753600).

54638980704 is an abundant number, since it is smaller than the sum of its proper divisors (147100526496).

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

54638980704 is a wasteful number, since it uses less digits than its factorization.

54638980704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 54638980704 in words is "fifty-four billion, six hundred thirty-eight million, nine hundred eighty thousand, seven hundred four".