52077916800 has 1152 divisors, whose sum is σ = 236454865920. Its totient is φ = 10616832000.

The previous prime is 52077916789. The next prime is 52077916817. The reversal of 52077916800 is 861977025.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 81244480 + ... + 81245120.

It is an arithmetic number, because the mean of its divisors is an integer number (205255960).

Almost surely, 2^52077916800 is an apocalyptic number.

52077916800 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 52077916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118227432960).

52077916800 is an abundant number, since it is smaller than the sum of its proper divisors (184376949120).

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

52077916800 is a wasteful number, since it uses less digits than its factorization.

52077916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 52077916800 in words is "fifty-two billion, seventy-seven million, nine hundred sixteen thousand, eight hundred".