54752220432 has 320 divisors, whose sum is σ = 195612480000. Its totient is φ = 14276984832.

The previous prime is 54752220431. The next prime is 54752220437. The reversal of 54752220432 is 23402225745.

54752220432 is a `hidden beast` number, since 547 + 52 + 2 + 20 + 43 + 2 = 666.

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 (54752220431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3490944 + ... + 3506592.

It is an arithmetic number, because the mean of its divisors is an integer number (611289000).

Almost surely, 2^54752220432 is an apocalyptic number.

54752220432 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 54752220432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97806240000).

54752220432 is an abundant number, since it is smaller than the sum of its proper divisors (140860259568).

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

54752220432 is a wasteful number, since it uses less digits than its factorization.

54752220432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15775 (or 15763 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The spelling of 54752220432 in words is "fifty-four billion, seven hundred fifty-two million, two hundred twenty thousand, four hundred thirty-two".