54031380480 has 1456 divisors, whose sum is σ = 247525991424. Its totient is φ = 10988421120.

The previous prime is 54031380457. The next prime is 54031380523. The reversal of 54031380480 is 8408313045.

54031380480 is a `hidden beast` number, since 5 + 40 + 3 + 138 + 0 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1149603817 + ... + 1149603863.

Almost surely, 2^54031380480 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 54031380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123762995712).

54031380480 is an abundant number, since it is smaller than the sum of its proper divisors (193494610944).

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

54031380480 is an equidigital number, since it uses as much as digits as its factorization.

54031380480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 54031380480 in words is "fifty-four billion, thirty-one million, three hundred eighty thousand, four hundred eighty".