53632056441600 has 5184 divisors, whose sum is σ = 255585841459200. Its totient is φ = 10900035993600.

The previous prime is 53632056441553. The next prime is 53632056441697. The reversal of 53632056441600 is 614465023635.

53632056441600 is a `hidden beast` number, since 5 + 3 + 6 + 3 + 20 + 564 + 4 + 1 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 678886790361 + ... + 678886790439.

Almost surely, 2^{53632056441600} is an apocalyptic number.

53632056441600 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 53632056441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127792920729600).

53632056441600 is an abundant number, since it is smaller than the sum of its proper divisors (201953785017600).

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

53632056441600 is an equidigital number, since it uses as much as digits as its factorization.

53632056441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 53632056441600 in words is "fifty-three trillion, six hundred thirty-two billion, fifty-six million, four hundred forty-one thousand, six hundred".