53625732480 has 640 divisors, whose sum is σ = 197940996000. Its totient is φ = 13829308416.

The previous prime is 53625732463. The next prime is 53625732521. The reversal of 53625732480 is 8423752635.

53625732480 is a `hidden beast` number, since 5 + 36 + 2 + 573 + 2 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 272211742 + ... + 272211938.

Almost surely, 2^53625732480 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 53625732480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98970498000).

53625732480 is an abundant number, since it is smaller than the sum of its proper divisors (144315263520).

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

53625732480 is a wasteful number, since it uses less digits than its factorization.

53625732480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 53625732480 in words is "fifty-three billion, six hundred twenty-five million, seven hundred thirty-two thousand, four hundred eighty".