52277752800 has 864 divisors, whose sum is σ = 230203891008. Its totient is φ = 10868981760.

The previous prime is 52277752783. The next prime is 52277752817. The reversal of 52277752800 is 825777225.

52277752800 is a `hidden beast` number, since 52 + 2 + 7 + 77 + 528 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (52277752783) and next prime (52277752817).

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 143 ways as a sum of consecutive naturals, for example, 47829054 + ... + 47830146.

Almost surely, 2^52277752800 is an apocalyptic number.

52277752800 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 52277752800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115101945504).

52277752800 is an abundant number, since it is smaller than the sum of its proper divisors (177926138208).

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

52277752800 is a wasteful number, since it uses less digits than its factorization.

52277752800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 45.

The spelling of 52277752800 in words is "fifty-two billion, two hundred seventy-seven million, seven hundred fifty-two thousand, eight hundred".