5075892864 has 448 divisors, whose sum is σ = 18283704000. Its totient is φ = 1370566656.

The previous prime is 5075892863. The next prime is 5075892869. The reversal of 5075892864 is 4682985705.

5075892864 is a `hidden beast` number, since 50 + 7 + 589 + 2 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×5075892864² = 51529376733612244992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5075892864.

It is not an unprimeable number, because it can be changed into a prime (5075892863) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12410292 + ... + 12410700.

Almost surely, 2^5075892864 is an apocalyptic number.

5075892864 is a gapful number since it is divisible by the number (54) 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 5075892864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9141852000).

5075892864 is an abundant number, since it is smaller than the sum of its proper divisors (13207811136).

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

5075892864 is an equidigital number, since it uses as much as digits as its factorization.

5075892864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The square root of 5075892864 is about 71245.3006450250. The cubic root of 5075892864 is about 1718.5842035925.

The spelling of 5075892864 in words is "five billion, seventy-five million, eight hundred ninety-two thousand, eight hundred sixty-four".