5140987488 has 288 divisors, whose sum is σ = 18786388320. Its totient is φ = 1355719680.

The previous prime is 5140987477. The next prime is 5140987541. The reversal of 5140987488 is 8847890415.

5140987488 is a `hidden beast` number, since 514 + 0 + 9 + 87 + 48 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 545698 + ... + 555038.

It is an arithmetic number, because the mean of its divisors is an integer number (65230515).

Almost surely, 2^5140987488 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 5140987488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9393194160).

5140987488 is an abundant number, since it is smaller than the sum of its proper divisors (13645400832).

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

5140987488 is a wasteful number, since it uses less digits than its factorization.

5140987488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9387 (or 9366 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The square root of 5140987488 is about 71700.6798294131. The cubic root of 5140987488 is about 1725.8995504819.

The spelling of 5140987488 in words is "five billion, one hundred forty million, nine hundred eighty-seven thousand, four hundred eighty-eight".