5131788480 has 896 divisors, whose sum is σ = 22858536960. Its totient is φ = 1055047680.

The previous prime is 5131788479. The next prime is 5131788499. The reversal of 5131788480 is 848871315.

It is a happy number.

5131788480 is a `hidden beast` number, since 513 + 17 + 88 + 48 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47960587 + ... + 47960693.

It is an arithmetic number, because the mean of its divisors is an integer number (25511760).

Almost surely, 2^5131788480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5131788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11429268480).

5131788480 is an abundant number, since it is smaller than the sum of its proper divisors (17726748480).

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

5131788480 is a wasteful number, since it uses less digits than its factorization.

5131788480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 5131788480 is about 71636.5024271844. The cubic root of 5131788480 is about 1724.8695251031.

The spelling of 5131788480 in words is "five billion, one hundred thirty-one million, seven hundred eighty-eight thousand, four hundred eighty".