53254000800 has 1440 divisors, whose sum is σ = 261071040384. Its totient is φ = 10202112000.

The previous prime is 53254000781. The next prime is 53254000801. The reversal of 53254000800 is 800045235.

53254000800 is a `hidden beast` number, since 532 + 54 + 0 + 0 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 4926 × 2574 × 4200.

It is not an unprimeable number, because it can be changed into a prime (53254000801) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 64864390 + ... + 64865210.

Almost surely, 2^53254000800 is an apocalyptic number.

53254000800 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 53254000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130535520192).

53254000800 is an abundant number, since it is smaller than the sum of its proper divisors (207817039584).

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

53254000800 is a wasteful number, since it uses less digits than its factorization.

53254000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 53254000800 in words is "fifty-three billion, two hundred fifty-four million, eight hundred", and thus it is an aban number.