5086540800 has 660 divisors, whose sum is σ = 20639262336. Its totient is φ = 1227571200.

The previous prime is 5086540783. The next prime is 5086540807. The reversal of 5086540800 is 80456805.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (660).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5086540807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 22809489 + ... + 22809711.

Almost surely, 2^5086540800 is an apocalyptic number.

5086540800 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 5086540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10319631168).

5086540800 is an abundant number, since it is smaller than the sum of its proper divisors (15552721536).

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

5086540800 is a wasteful number, since it uses less digits than its factorization.

5086540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5086540800 is about 71319.9887829492. The cubic root of 5086540800 is about 1719.7850822146.

The spelling of 5086540800 in words is "five billion, eighty-six million, five hundred forty thousand, eight hundred".