5458669920 has 384 divisors, whose sum is σ = 20965754880. Its totient is φ = 1315491840.

The previous prime is 5458669919. The next prime is 5458669921. The reversal of 5458669920 is 299668545.

It is a happy number.

5458669920 is a `hidden beast` number, since 54 + 586 + 6 + 9 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5458669919) and next prime (5458669921).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5458669921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14873577 + ... + 14873943.

It is an arithmetic number, because the mean of its divisors is an integer number (54598320).

Almost surely, 2^5458669920 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 5458669920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10482877440).

5458669920 is an abundant number, since it is smaller than the sum of its proper divisors (15507084960).

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

5458669920 is a wasteful number, since it uses less digits than its factorization.

5458669920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The square root of 5458669920 is about 73882.8120742572. The cubic root of 5458669920 is about 1760.7415435810.

The spelling of 5458669920 in words is "five billion, four hundred fifty-eight million, six hundred sixty-nine thousand, nine hundred twenty".