5358668952 has 512 divisors, whose sum is σ = 18498816000. Its totient is φ = 1254113280.

The previous prime is 5358668941. The next prime is 5358668969. The reversal of 5358668952 is 2598668535.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 5358668892 and 5358668901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 73406388 + ... + 73406460.

It is an arithmetic number, because the mean of its divisors is an integer number (36130500).

Almost surely, 2^5358668952 is an apocalyptic number.

5358668952 is a gapful number since it is divisible by the number (52) 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 5358668952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9249408000).

5358668952 is an abundant number, since it is smaller than the sum of its proper divisors (13140147048).

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

5358668952 is a wasteful number, since it uses less digits than its factorization.

5358668952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 207 counting only the distinct ones).

The product of its digits is 15552000, while the sum is 57.

The square root of 5358668952 is about 73202.9299413623. The cubic root of 5358668952 is about 1749.9231478631.

The spelling of 5358668952 in words is "five billion, three hundred fifty-eight million, six hundred sixty-eight thousand, nine hundred fifty-two".