53266146240 has 224 divisors, whose sum is σ = 179299941120. Its totient is φ = 13351469056.

The previous prime is 53266146229. The next prime is 53266146251. The reversal of 53266146240 is 4264166235.

It is an interprime number because it is at equal distance from previous prime (53266146229) and next prime (53266146251).

It is a super-2 number, since 2×53266146240² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 16628479 + ... + 16631681.

Almost surely, 2^53266146240 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 53266146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89649970560).

53266146240 is an abundant number, since it is smaller than the sum of its proper divisors (126033794880).

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

53266146240 is a wasteful number, since it uses less digits than its factorization.

53266146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4259 (or 4249 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 53266146240 in words is "fifty-three billion, two hundred sixty-six million, one hundred forty-six thousand, two hundred forty".