54938470752 has 192 divisors, whose sum is σ = 175018475520. Its totient is φ = 16627622400.

The previous prime is 54938470747. The next prime is 54938470753. The reversal of 54938470752 is 25707483945.

It is a happy number.

54938470752 is a `hidden beast` number, since 5 + 493 + 84 + 7 + 0 + 75 + 2 = 666.

It is a super-3 number, since 3×54938470752³ (a number of 33 digits) contains 333 as substring.

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 (54938470753) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8940193 + ... + 8946335.

It is an arithmetic number, because the mean of its divisors is an integer number (911554560).

Almost surely, 2^54938470752 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 54938470752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87509237760).

54938470752 is an abundant number, since it is smaller than the sum of its proper divisors (120080004768).

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

54938470752 is a wasteful number, since it uses less digits than its factorization.

54938470752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7114 (or 7100 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 54938470752 in words is "fifty-four billion, nine hundred thirty-eight million, four hundred seventy thousand, seven hundred fifty-two".