5277805948800 has 3072 divisors, whose sum is σ = 25170046156800. Its totient is φ = 1048080384000.

The previous prime is 5277805948739. The next prime is 5277805948813. The reversal of 5277805948800 is 88495087725.

5277805948800 is a `hidden beast` number, since 5 + 2 + 77 + 80 + 5 + 9 + 488 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 32379177519 + ... + 32379177681.

It is an arithmetic number, because the mean of its divisors is an integer number (8193374400).

Almost surely, 2^{5277805948800} is an apocalyptic number.

5277805948800 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 5277805948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12585023078400).

5277805948800 is an abundant number, since it is smaller than the sum of its proper divisors (19892240208000).

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

5277805948800 is a wasteful number, since it uses less digits than its factorization.

5277805948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 5277805948800 in words is "five trillion, two hundred seventy-seven billion, eight hundred five million, nine hundred forty-eight thousand, eight hundred".