54120467232 has 576 divisors, whose sum is σ = 183891708000. Its totient is φ = 14937882624.

The previous prime is 54120467227. The next prime is 54120467273. The reversal of 54120467232 is 23276402145.

54120467232 is a `hidden beast` number, since 5 + 412 + 0 + 4 + 6 + 7 + 232 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2043401616 + 52077065616 = 45204^2 + 228204^2 .

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 95 ways as a sum of consecutive naturals, for example, 201191194 + ... + 201191462.

Almost surely, 2^54120467232 is an apocalyptic number.

54120467232 is a gapful number since it is divisible by the number (52) 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 54120467232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91945854000).

54120467232 is an abundant number, since it is smaller than the sum of its proper divisors (129771240768).

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

54120467232 is a wasteful number, since it uses less digits than its factorization.

54120467232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 54120467232 its reverse (23276402145), we get a palindrome (77396869377).

The spelling of 54120467232 in words is "fifty-four billion, one hundred twenty million, four hundred sixty-seven thousand, two hundred thirty-two".