5257771200 has 504 divisors, whose sum is σ = 21471453120. Its totient is φ = 1206835200.

The previous prime is 5257771177. The next prime is 5257771223. The reversal of 5257771200 is 21777525.

5257771200 is a `hidden beast` number, since 525 + 7 + 7 + 7 + 120 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5257771177) and next prime (5257771223).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3008727 + ... + 3010473.

Almost surely, 2^5257771200 is an apocalyptic number.

5257771200 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 5257771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10735726560).

5257771200 is an abundant number, since it is smaller than the sum of its proper divisors (16213681920).

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

5257771200 is a wasteful number, since it uses less digits than its factorization.

5257771200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 34300, while the sum is 36.

The square root of 5257771200 is about 72510.4902755456. The cubic root of 5257771200 is about 1738.8704519922.

The spelling of 5257771200 in words is "five billion, two hundred fifty-seven million, seven hundred seventy-one thousand, two hundred".