53385920640 has 640 divisors, whose sum is σ = 210963780720. Its totient is φ = 12780011520.

The previous prime is 53385920617. The next prime is 53385920669. The reversal of 53385920640 is 4602958335.

53385920640 is a `hidden beast` number, since 53 + 3 + 8 + 592 + 0 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 39289582656 + 14096337984 = 198216^2 + 118728^2 .

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 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 79 ways as a sum of consecutive naturals, for example, 24933970 + ... + 24936110.

Almost surely, 2^53385920640 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 53385920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105481890360).

53385920640 is an abundant number, since it is smaller than the sum of its proper divisors (157577860080).

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

53385920640 is a wasteful number, since it uses less digits than its factorization.

53385920640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222 (or 2201 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 53385920640 in words is "fifty-three billion, three hundred eighty-five million, nine hundred twenty thousand, six hundred forty".