53026829107200 has 2520 divisors, whose sum is σ = 225986324183928. Its totient is φ = 12176232284160.

The previous prime is 53026829107199. The next prime is 53026829107279. The reversal of 53026829107200 is 270192862035.

53026829107200 is a `hidden beast` number, since 5 + 30 + 268 + 291 + 0 + 72 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 32965603098624 + 20061226008576 = 5741568^2 + 4478976^2 .

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 119 ways as a sum of consecutive naturals, for example, 469263974344 + ... + 469263974456.

Almost surely, 2^{53026829107200} is an apocalyptic number.

53026829107200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53026829107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112993162091964).

53026829107200 is an abundant number, since it is smaller than the sum of its proper divisors (172959495076728).

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

53026829107200 is an equidigital number, since it uses as much as digits as its factorization.

53026829107200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 53026829107200 in words is "fifty-three trillion, twenty-six billion, eight hundred twenty-nine million, one hundred seven thousand, two hundred".