53514432000 has 1120 divisors, whose sum is σ = 212106495744. Its totient is φ = 13436928000.

The previous prime is 53514431941. The next prime is 53514432001. The reversal of 53514432000 is 23441535.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53514432001) 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 111 ways as a sum of consecutive naturals, for example, 1446335982 + ... + 1446336018.

Almost surely, 2^53514432000 is an apocalyptic number.

53514432000 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 53514432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106053247872).

53514432000 is an abundant number, since it is smaller than the sum of its proper divisors (158592063744).

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

53514432000 is an frugal number, since it uses more digits than its factorization.

53514432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 53514432000 its reverse (23441535), we get a palindrome (53537873535).

The spelling of 53514432000 in words is "fifty-three billion, five hundred fourteen million, four hundred thirty-two thousand".