52681104000 has 640 divisors, whose sum is σ = 223648888320. Its totient is φ = 12039321600.

The previous prime is 52681103957. The next prime is 52681104001. The reversal of 52681104000 is 40118625.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52681104001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9069097 + ... + 9074903.

It is an arithmetic number, because the mean of its divisors is an integer number (349451388).

Almost surely, 2^52681104000 is an apocalyptic number.

52681104000 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 52681104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111824444160).

52681104000 is an abundant number, since it is smaller than the sum of its proper divisors (170967784320).

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

52681104000 is an equidigital number, since it uses as much as digits as its factorization.

52681104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5855 (or 5824 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 52681104000 in words is "fifty-two billion, six hundred eighty-one million, one hundred four thousand".