54379720840192 has 352 divisors, whose sum is σ = 129173468774400. Its totient is φ = 22623284428800.

The previous prime is 54379720840189. The next prime is 54379720840213. The reversal of 54379720840192 is 29104802797345.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-3 number, since 3×54379720840192³ (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 54379720840192.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 714741609 + ... + 714817687.

Almost surely, 2^{54379720840192} 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 54379720840192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64586734387200).

54379720840192 is an abundant number, since it is smaller than the sum of its proper divisors (74793747934208).

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

54379720840192 is a wasteful number, since it uses less digits than its factorization.

54379720840192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76253 (or 76235 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 61.

The spelling of 54379720840192 in words is "fifty-four trillion, three hundred seventy-nine billion, seven hundred twenty million, eight hundred forty thousand, one hundred ninety-two".