5882696400 has 960 divisors, whose sum is σ = 24798412800. Its totient is φ = 1161216000.

The previous prime is 5882696387. The next prime is 5882696461. The reversal of 5882696400 is 46962885.

It is a happy number.

It is a super-2 number, since 2×5882696400² = 69212233869145920000, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5882696400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 143480380 + ... + 143480420.

It is an arithmetic number, because the mean of its divisors is an integer number (25831680).

Almost surely, 2^5882696400 is an apocalyptic number.

5882696400 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 5882696400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12399206400).

5882696400 is an abundant number, since it is smaller than the sum of its proper divisors (18915716400).

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

5882696400 is a wasteful number, since it uses less digits than its factorization.

5882696400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 5882696400 is about 76698.7379296426. The cubic root of 5882696400 is about 1805.2006386289.

The spelling of 5882696400 in words is "five billion, eight hundred eighty-two million, six hundred ninety-six thousand, four hundred".