54015413760 has 1600 divisors, whose sum is σ = 256676428800. Its totient is φ = 10510663680.

The previous prime is 54015413737. The next prime is 54015413831. The reversal of 54015413760 is 6731451045.

54015413760 is a `hidden beast` number, since 5 + 40 + 1 + 541 + 3 + 76 + 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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 271434141 + ... + 271434339.

It is an arithmetic number, because the mean of its divisors is an integer number (160422768).

Almost surely, 2^54015413760 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 54015413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128338214400).

54015413760 is an abundant number, since it is smaller than the sum of its proper divisors (202661015040).

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

54015413760 is a wasteful number, since it uses less digits than its factorization.

54015413760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 54015413760 in words is "fifty-four billion, fifteen million, four hundred thirteen thousand, seven hundred sixty".