5210897664 has 576 divisors, whose sum is σ = 18253541376. Its totient is φ = 1284636672.

The previous prime is 5210897651. The next prime is 5210897669. The reversal of 5210897664 is 4667980125.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5210897669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77774559 + ... + 77774625.

It is an arithmetic number, because the mean of its divisors is an integer number (31690176).

Almost surely, 2^5210897664 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 5210897664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9126770688).

5210897664 is an abundant number, since it is smaller than the sum of its proper divisors (13042643712).

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

5210897664 is a wasteful number, since it uses less digits than its factorization.

5210897664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 5210897664 is about 72186.5476664454. The cubic root of 5210897664 is about 1733.6876204137.

The spelling of 5210897664 in words is "five billion, two hundred ten million, eight hundred ninety-seven thousand, six hundred sixty-four".