53922516480 has 1440 divisors, whose sum is σ = 236873276640. Its totient is φ = 11705057280.

The previous prime is 53922516469. The next prime is 53922516521. The reversal of 53922516480 is 8461522935.

53922516480 is a `hidden beast` number, since 5 + 3 + 92 + 2 + 516 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 883975650 + ... + 883975710.

It is an arithmetic number, because the mean of its divisors is an integer number (164495331).

Almost surely, 2^53922516480 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 53922516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118436638320).

53922516480 is an abundant number, since it is smaller than the sum of its proper divisors (182950760160).

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

53922516480 is an equidigital number, since it uses as much as digits as its factorization.

53922516480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 53922516480 in words is "fifty-three billion, nine hundred twenty-two million, five hundred sixteen thousand, four hundred eighty".