54086123520 has 1440 divisors, whose sum is σ = 240452110080. Its totient is φ = 11466178560.

The previous prime is 54086123519. The next prime is 54086123521. The reversal of 54086123520 is 2532168045.

54086123520 is a `hidden beast` number, since 5 + 4 + 0 + 8 + 6 + 123 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (54086123519) and next prime (54086123521).

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (54086123521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2846638071 + ... + 2846638089.

It is an arithmetic number, because the mean of its divisors is an integer number (166980632).

Almost surely, 2^54086123520 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 54086123520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120226055040).

54086123520 is an abundant number, since it is smaller than the sum of its proper divisors (186365986560).

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

54086123520 is a wasteful number, since it uses less digits than its factorization.

54086123520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 54086123520 in words is "fifty-four billion, eighty-six million, one hundred twenty-three thousand, five hundred twenty".