53787681216000 has 1920 divisors, whose sum is σ = 209228677257600. Its totient is φ = 13278766694400.

The previous prime is 53787681215941. The next prime is 53787681216001. The reversal of 53787681216000 is 61218678735.

It is a happy number.

53787681216000 is a `hidden beast` number, since 5 + 3 + 7 + 8 + 7 + 6 + 8 + 1 + 21 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×53787681216000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53787681216001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 234880703886 + ... + 234880704114.

It is an arithmetic number, because the mean of its divisors is an integer number (108973269405).

Almost surely, 2^{53787681216000} is an apocalyptic number.

53787681216000 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 53787681216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104614338628800).

53787681216000 is an abundant number, since it is smaller than the sum of its proper divisors (155440996041600).

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

53787681216000 is an equidigital number, since it uses as much as digits as its factorization.

53787681216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 53787681216000 in words is "fifty-three trillion, seven hundred eighty-seven billion, six hundred eighty-one million, two hundred sixteen thousand".