54132779520 has 480 divisors, whose sum is σ = 195933209472. Its totient is φ = 14323433472.

The previous prime is 54132779497. The next prime is 54132779527. The reversal of 54132779520 is 2597723145.

It is a happy number.

54132779520 is a `hidden beast` number, since 54 + 1 + 3 + 2 + 7 + 79 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (54132779527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107619589 + ... + 107620091.

Almost surely, 2^54132779520 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 54132779520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97966604736).

54132779520 is an abundant number, since it is smaller than the sum of its proper divisors (141800429952).

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

54132779520 is an equidigital number, since it uses as much as digits as its factorization.

54132779520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 54132779520 in words is "fifty-four billion, one hundred thirty-two million, seven hundred seventy-nine thousand, five hundred twenty".