5095677600 has 720 divisors, whose sum is σ = 20961908352. Its totient is φ = 1195223040.

The previous prime is 5095677557. The next prime is 5095677673. The reversal of 5095677600 is 67765905.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19375069 + ... + 19375331.

Almost surely, 2^5095677600 is an apocalyptic number.

5095677600 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 5095677600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10480954176).

5095677600 is an abundant number, since it is smaller than the sum of its proper divisors (15866230752).

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

5095677600 is a wasteful number, since it uses less digits than its factorization.

5095677600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 5095677600 is about 71384.0150173693. The cubic root of 5095677600 is about 1720.8141989807.

The spelling of 5095677600 in words is "five billion, ninety-five million, six hundred seventy-seven thousand, six hundred".