54496374240 has 768 divisors, whose sum is σ = 221490339840. Its totient is φ = 10936442880.

The previous prime is 54496374211. The next prime is 54496374259. The reversal of 54496374240 is 4247369445.

It is a super-2 number, since 2×54496374240² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 54496374240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 146102694 + ... + 146103066.

It is an arithmetic number, because the mean of its divisors is an integer number (288398880).

Almost surely, 2^54496374240 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 54496374240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110745169920).

54496374240 is an abundant number, since it is smaller than the sum of its proper divisors (166993965600).

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

54496374240 is a wasteful number, since it uses less digits than its factorization.

54496374240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 54496374240 in words is "fifty-four billion, four hundred ninety-six million, three hundred seventy-four thousand, two hundred forty".