5060966400 has 576 divisors, whose sum is σ = 21286137600. Its totient is φ = 1154580480.

The previous prime is 5060966371. The next prime is 5060966401. The reversal of 5060966400 is 46690605.

It is a happy number.

5060966400 is a `hidden beast` number, since 5 + 0 + 6 + 0 + 9 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×5060966400² = 51226761803857920000, which contains 22 as substring.

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 (5060966401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9676539 + ... + 9677061.

It is an arithmetic number, because the mean of its divisors is an integer number (36955100).

Almost surely, 2^5060966400 is an apocalyptic number.

5060966400 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 5060966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10643068800).

5060966400 is an abundant number, since it is smaller than the sum of its proper divisors (16225171200).

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

5060966400 is a wasteful number, since it uses less digits than its factorization.

5060966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 5060966400 is about 71140.4694952177. The cubic root of 5060966400 is about 1716.8979602683.

The spelling of 5060966400 in words is "five billion, sixty million, nine hundred sixty-six thousand, four hundred".