5038951680 has 720 divisors, whose sum is σ = 21155105664. Its totient is φ = 1121402880.

The previous prime is 5038951667. The next prime is 5038951703. The reversal of 5038951680 is 861598305.

5038951680 is a `hidden beast` number, since 50 + 3 + 8 + 9 + 516 + 80 = 666.

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 a nialpdrome in base 12.

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 79 ways as a sum of consecutive naturals, for example, 38465215 + ... + 38465345.

Almost surely, 2^5038951680 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 5038951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10577552832).

5038951680 is an abundant number, since it is smaller than the sum of its proper divisors (16116153984).

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

5038951680 is a wasteful number, since it uses less digits than its factorization.

5038951680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 5038951680 is about 70985.5737456562. The cubic root of 5038951680 is about 1714.4048945713.

The spelling of 5038951680 in words is "five billion, thirty-eight million, nine hundred fifty-one thousand, six hundred eighty".