54131592014304 has 192 divisors, whose sum is σ = 164189240441856. Its totient is φ = 15295501615104.

The previous prime is 54131592014273. The next prime is 54131592014317. The reversal of 54131592014304 is 40341029513145.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88802782 + ... + 89410274.

It is an arithmetic number, because the mean of its divisors is an integer number (855152293968).

Almost surely, 2^{54131592014304} 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 54131592014304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82094620220928).

54131592014304 is an abundant number, since it is smaller than the sum of its proper divisors (110057648427552).

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

54131592014304 is a wasteful number, since it uses less digits than its factorization.

54131592014304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608977 (or 608969 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 54131592014304 in words is "fifty-four trillion, one hundred thirty-one billion, five hundred ninety-two million, fourteen thousand, three hundred four".