54391534718976 has 1248 divisors, whose sum is σ = 205864526192640. Its totient is φ = 13881242419200.

The previous prime is 54391534718891. The next prime is 54391534719029. The reversal of 54391534718976 is 67981743519345.

54391534718976 is a `hidden beast` number, since 5 + 4 + 3 + 9 + 1 + 5 + 3 + 471 + 89 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4055733711 + ... + 4055747121.

Almost surely, 2^{54391534718976} is an apocalyptic number.

54391534718976 is a gapful number since it is divisible by the number (56) 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 54391534718976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102932263096320).

54391534718976 is an abundant number, since it is smaller than the sum of its proper divisors (151472991473664).

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

54391534718976 is a wasteful number, since it uses less digits than its factorization.

54391534718976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13508 (or 13467 counting only the distinct ones).

The product of its digits is 685843200, while the sum is 72.

The spelling of 54391534718976 in words is "fifty-four trillion, three hundred ninety-one billion, five hundred thirty-four million, seven hundred eighteen thousand, nine hundred seventy-six".