53561088000 has 1344 divisors, whose sum is σ = 234605367360. Its totient is φ = 11943936000.

The previous prime is 53561087981. The next prime is 53561088013. The reversal of 53561088000 is 88016535.

53561088000 is a `hidden beast` number, since 5 + 35 + 610 + 8 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1306367980 + ... + 1306368020.

It is an arithmetic number, because the mean of its divisors is an integer number (174557565).

Almost surely, 2^53561088000 is an apocalyptic number.

53561088000 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 53561088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117302683680).

53561088000 is an abundant number, since it is smaller than the sum of its proper divisors (181044279360).

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

53561088000 is an frugal number, since it uses more digits than its factorization.

53561088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 53561088000 in words is "fifty-three billion, five hundred sixty-one million, eighty-eight thousand".