53153631820800 has 2376 divisors, whose sum is σ = 230388281768736. Its totient is φ = 11906193162240.

The previous prime is 53153631820777. The next prime is 53153631820829. The reversal of 53153631820800 is 802813635135.

53153631820800 is a `hidden beast` number, since 5 + 3 + 1 + 5 + 3 + 631 + 8 + 2 + 0 + 8 + 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 polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 62313753174 + ... + 62313754026.

Almost surely, 2^{53153631820800} is an apocalyptic number.

53153631820800 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 53153631820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115194140884368).

53153631820800 is an abundant number, since it is smaller than the sum of its proper divisors (177234649947936).

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

53153631820800 is an frugal number, since it uses more digits than its factorization.

53153631820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 53153631820800 in words is "fifty-three trillion, one hundred fifty-three billion, six hundred thirty-one million, eight hundred twenty thousand, eight hundred".