54534513240 has 192 divisors, whose sum is σ = 180982900800. Its totient is φ = 14236425216.

The previous prime is 54534513217. The next prime is 54534513259. The reversal of 54534513240 is 4231543545.

54534513240 is a `hidden beast` number, since 5 + 4 + 534 + 51 + 32 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 54534513195 and 54534513204.

It is a congruent number.

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, 9289026 + ... + 9294894.

It is an arithmetic number, because the mean of its divisors is an integer number (942619275).

Almost surely, 2^54534513240 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 54534513240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90491450400).

54534513240 is an abundant number, since it is smaller than the sum of its proper divisors (126448387560).

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

54534513240 is a wasteful number, since it uses less digits than its factorization.

54534513240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6426 (or 6419 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 54534513240 in words is "fifty-four billion, five hundred thirty-four million, five hundred thirteen thousand, two hundred forty".