53445954240 has 1008 divisors, whose sum is σ = 232722846720. Its totient is φ = 11182510080.

The previous prime is 53445954227. The next prime is 53445954253. The reversal of 53445954240 is 4245954435.

53445954240 is a `hidden beast` number, since 5 + 34 + 4 + 595 + 4 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (53445954227) and next prime (53445954253).

It is a tau number, because it is divible by the number of its divisors (1008).

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 (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 83119359 + ... + 83120001.

It is an arithmetic number, because the mean of its divisors is an integer number (230875840).

Almost surely, 2^53445954240 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 53445954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116361423360).

53445954240 is an abundant number, since it is smaller than the sum of its proper divisors (179276892480).

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

53445954240 is a wasteful number, since it uses less digits than its factorization.

53445954240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 53445954240 in words is "fifty-three billion, four hundred forty-five million, nine hundred fifty-four thousand, two hundred forty".