54340116480 has 1344 divisors, whose sum is σ = 231857458560. Its totient is φ = 11626610688.

The previous prime is 54340116469. The next prime is 54340116499. The reversal of 54340116480 is 8461104345.

54340116480 is a `hidden beast` number, since 5 + 4 + 3 + 4 + 0 + 1 + 1 + 648 + 0 = 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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1873797106 + ... + 1873797134.

It is an arithmetic number, because the mean of its divisors is an integer number (172512990).

Almost surely, 2^54340116480 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 54340116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115928729280).

54340116480 is an abundant number, since it is smaller than the sum of its proper divisors (177517342080).

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

54340116480 is a wasteful number, since it uses less digits than its factorization.

54340116480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 92 counting only the distinct ones).

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

It can be divided in two parts, 54340 and 116480, that added together give a triangular number (170820 = T₅₈₄).

The spelling of 54340116480 in words is "fifty-four billion, three hundred forty million, one hundred sixteen thousand, four hundred eighty".