53266946792832 has 320 divisors, whose sum is σ = 165436714792800. Its totient is φ = 16981312905216.

The previous prime is 53266946792827. The next prime is 53266946792837. The reversal of 53266946792832 is 23829764966235.

53266946792832 is a `hidden beast` number, since 5 + 3 + 26 + 69 + 467 + 9 + 2 + 83 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (53266946792827) and next prime (53266946792837).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53266946792837) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 2741610894 + ... + 2741630322.

Almost surely, 2^{53266946792832} 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 53266946792832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82718357396400).

53266946792832 is an abundant number, since it is smaller than the sum of its proper divisors (112169767999968).

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

53266946792832 is a wasteful number, since it uses less digits than its factorization.

53266946792832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30975 (or 30954 counting only the distinct ones).

The product of its digits is 1410877440, while the sum is 72.

The spelling of 53266946792832 in words is "fifty-three trillion, two hundred sixty-six billion, nine hundred forty-six million, seven hundred ninety-two thousand, eight hundred thirty-two".