54130986000 has 720 divisors, whose sum is σ = 236896431408. Its totient is φ = 11418624000.

The previous prime is 54130985983. The next prime is 54130986011. The reversal of 54130986000 is 68903145.

54130986000 is a `hidden beast` number, since 5 + 41 + 3 + 0 + 9 + 8 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 26802928656 + 27328057344 = 163716^2 + 165312^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11463640 + ... + 11468360.

Almost surely, 2^54130986000 is an apocalyptic number.

54130986000 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 54130986000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118448215704).

54130986000 is an abundant number, since it is smaller than the sum of its proper divisors (182765445408).

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

54130986000 is a wasteful number, since it uses less digits than its factorization.

54130986000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4777 (or 4751 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 54130986000 in words is "fifty-four billion, one hundred thirty million, nine hundred eighty-six thousand".