54540684000 has 576 divisors, whose sum is σ = 216139891968. Its totient is φ = 12910464000.

The previous prime is 54540683999. The next prime is 54540684097. The reversal of 54540684000 is 48604545.

54540684000 is a `hidden beast` number, since 54 + 540 + 68 + 4 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×54540684000² (a number of 22 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 17026399 + ... + 17029601.

It is an arithmetic number, because the mean of its divisors is an integer number (375242868).

Almost surely, 2^54540684000 is an apocalyptic number.

54540684000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54540684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108069945984).

54540684000 is an abundant number, since it is smaller than the sum of its proper divisors (161599207968).

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

54540684000 is a wasteful number, since it uses less digits than its factorization.

54540684000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3288 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 54540684000 in words is "fifty-four billion, five hundred forty million, six hundred eighty-four thousand".