5253776640 has 864 divisors, whose sum is σ = 22856171520. Its totient is φ = 1128701952.

The previous prime is 5253776629. The next prime is 5253776641. The reversal of 5253776640 is 466773525.

5253776640 is a `hidden beast` number, since 5 + 2 + 537 + 76 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5253776641) 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 95 ways as a sum of consecutive naturals, for example, 41368257 + ... + 41368383.

Almost surely, 2^5253776640 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 5253776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11428085760).

5253776640 is an abundant number, since it is smaller than the sum of its proper divisors (17602394880).

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

5253776640 is a wasteful number, since it uses less digits than its factorization.

5253776640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The square root of 5253776640 is about 72482.9403377098. The cubic root of 5253776640 is about 1738.4299749727.

The spelling of 5253776640 in words is "five billion, two hundred fifty-three million, seven hundred seventy-six thousand, six hundred forty".