5249664000 has 1056 divisors, whose sum is σ = 23298462720. Its totient is φ = 1161216000.

The previous prime is 5249663977. The next prime is 5249664011. The reversal of 5249664000 is 4669425.

5249664000 is a `hidden beast` number, since 5 + 2 + 4 + 9 + 6 + 640 + 0 + 0 = 666.

It is a super-2 number, since 2×5249664000² = 55117944225792000000, 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169343985 + ... + 169344015.

Almost surely, 2^5249664000 is an apocalyptic number.

5249664000 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 5249664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11649231360).

5249664000 is an abundant number, since it is smaller than the sum of its proper divisors (18048798720).

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

5249664000 is a wasteful number, since it uses less digits than its factorization.

5249664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5249664000 is about 72454.5650735687. The cubic root of 5249664000 is about 1737.9762440347.

The spelling of 5249664000 in words is "five billion, two hundred forty-nine million, six hundred sixty-four thousand".