5100435540 has 480 divisors, whose sum is σ = 17870751360. Its totient is φ = 1212309504.

The previous prime is 5100435521. The next prime is 5100435551. The reversal of 5100435540 is 455340015.

5100435540 is a `hidden beast` number, since 5 + 100 + 4 + 3 + 554 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 69868944 + ... + 69869016.

It is an arithmetic number, because the mean of its divisors is an integer number (37230732).

Almost surely, 2^5100435540 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 5100435540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8935375680).

5100435540 is an abundant number, since it is smaller than the sum of its proper divisors (12770315820).

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

5100435540 is a wasteful number, since it uses less digits than its factorization.

5100435540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 5100435540 is about 71417.3336102658. Note that the first 3 decimals coincide. The cubic root of 5100435540 is about 1721.3496190225.

Adding to 5100435540 its reverse (455340015), we get a palindrome (5555775555).

The spelling of 5100435540 in words is "five billion, one hundred million, four hundred thirty-five thousand, five hundred forty".