53581096800 has 864 divisors, whose sum is σ = 237728784384. Its totient is φ = 11031552000.

The previous prime is 53581096753. The next prime is 53581096819. The reversal of 53581096800 is 869018535.

53581096800 is a `hidden beast` number, since 5 + 3 + 581 + 0 + 9 + 68 + 0 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70408420 + ... + 70409180.

It is an arithmetic number, because the mean of its divisors is an integer number (275149056).

Almost surely, 2^53581096800 is an apocalyptic number.

53581096800 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 53581096800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118864392192).

53581096800 is an abundant number, since it is smaller than the sum of its proper divisors (184147687584).

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

53581096800 is a wasteful number, since it uses less digits than its factorization.

53581096800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 53581096800 in words is "fifty-three billion, five hundred eighty-one million, ninety-six thousand, eight hundred".