53295958800 has 1200 divisors, whose sum is σ = 241924015872. Its totient is φ = 10948608000.

The previous prime is 53295958763. The next prime is 53295958841. The reversal of 53295958800 is 885959235.

53295958800 is a `hidden beast` number, since 5 + 3 + 2 + 9 + 59 + 588 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×53295958800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 239 ways as a sum of consecutive naturals, for example, 88678500 + ... + 88679100.

Almost surely, 2^53295958800 is an apocalyptic number.

53295958800 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 53295958800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120962007936).

53295958800 is an abundant number, since it is smaller than the sum of its proper divisors (188628057072).

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

53295958800 is a wasteful number, since it uses less digits than its factorization.

53295958800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 53295958800 in words is "fifty-three billion, two hundred ninety-five million, nine hundred fifty-eight thousand, eight hundred".