5658132480 has 960 divisors, whose sum is σ = 25366376448. Its totient is φ = 1038090240.

The previous prime is 5658132479. The next prime is 5658132533. The reversal of 5658132480 is 842318565.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×5658132480² = 64028926322461900800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 246005749 + ... + 246005771.

Almost surely, 2^5658132480 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 5658132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12683188224).

5658132480 is an abundant number, since it is smaller than the sum of its proper divisors (19708243968).

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

5658132480 is a wasteful number, since it uses less digits than its factorization.

5658132480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 5658132480 is about 75220.5588918349. The cubic root of 5658132480 is about 1781.9316319671.

The spelling of 5658132480 in words is "five billion, six hundred fifty-eight million, one hundred thirty-two thousand, four hundred eighty".