54124587440 has 240 divisors, whose sum is σ = 160096419840. Its totient is φ = 16654809600.

The previous prime is 54124587427. The next prime is 54124587467. The reversal of 54124587440 is 4478542145.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 54124587391 and 54124587400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5347985 + ... + 5358095.

It is an arithmetic number, because the mean of its divisors is an integer number (667068416).

Almost surely, 2^54124587440 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 54124587440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80048209920).

54124587440 is an abundant number, since it is smaller than the sum of its proper divisors (105971832400).

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

54124587440 is a wasteful number, since it uses less digits than its factorization.

54124587440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10232 (or 10215 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 44.

The spelling of 54124587440 in words is "fifty-four billion, one hundred twenty-four million, five hundred eighty-seven thousand, four hundred forty".