53259276400 has 240 divisors, whose sum is σ = 142823358720. Its totient is φ = 18922291200.

The previous prime is 53259276383. The next prime is 53259276437. The reversal of 53259276400 is 467295235.

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 47 ways as a sum of consecutive naturals, for example, 50102269 + ... + 50103331.

It is an arithmetic number, because the mean of its divisors is an integer number (595097328).

Almost surely, 2^53259276400 is an apocalyptic number.

53259276400 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 53259276400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71411679360).

53259276400 is an abundant number, since it is smaller than the sum of its proper divisors (89564082320).

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

53259276400 is a wasteful number, since it uses less digits than its factorization.

53259276400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 43.

The spelling of 53259276400 in words is "fifty-three billion, two hundred fifty-nine million, two hundred seventy-six thousand, four hundred".