5377881600 has 1440 divisors, whose sum is σ = 25857511680. Its totient is φ = 1074954240.

The previous prime is 5377881583. The next prime is 5377881601. The reversal of 5377881600 is 61887735.

5377881600 is a `hidden beast` number, since 5 + 37 + 7 + 8 + 8 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×5377881600² = 57843221007237120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5377881601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 283046391 + ... + 283046409.

Almost surely, 2^5377881600 is an apocalyptic number.

5377881600 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 5377881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12928755840).

5377881600 is an abundant number, since it is smaller than the sum of its proper divisors (20479630080).

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

5377881600 is a wasteful number, since it uses less digits than its factorization.

5377881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 5377881600 is about 73334.0412087047. The cubic root of 5377881600 is about 1752.0120096756.

The spelling of 5377881600 in words is "five billion, three hundred seventy-seven million, eight hundred eighty-one thousand, six hundred".