53429598432 has 480 divisors, whose sum is σ = 192953376000. Its totient is φ = 14457574656.

The previous prime is 53429598403. The next prime is 53429598433. The reversal of 53429598432 is 23489592435.

53429598432 is a `hidden beast` number, since 5 + 3 + 4 + 2 + 9 + 598 + 43 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53429598433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16890483 + ... + 16893645.

It is an arithmetic number, because the mean of its divisors is an integer number (401986200).

Almost surely, 2^53429598432 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 53429598432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96476688000).

53429598432 is an abundant number, since it is smaller than the sum of its proper divisors (139523777568).

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

53429598432 is a wasteful number, since it uses less digits than its factorization.

53429598432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3225 (or 3194 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 53429598432 in words is "fifty-three billion, four hundred twenty-nine million, five hundred ninety-eight thousand, four hundred thirty-two".