5418357504 has 288 divisors, whose sum is σ = 17653095936. Its totient is φ = 1440153600.

The previous prime is 5418357499. The next prime is 5418357557. The reversal of 5418357504 is 4057538145.

It is a happy number.

It is a super-2 number, since 2×5418357504² = 58717196082306220032, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9230299 + ... + 9230885.

It is an arithmetic number, because the mean of its divisors is an integer number (61295472).

Almost surely, 2^5418357504 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 5418357504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8826547968).

5418357504 is an abundant number, since it is smaller than the sum of its proper divisors (12234738432).

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

5418357504 is a wasteful number, since it uses less digits than its factorization.

5418357504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

The square root of 5418357504 is about 73609.4933007965. The cubic root of 5418357504 is about 1756.3964560953.

The spelling of 5418357504 in words is "five billion, four hundred eighteen million, three hundred fifty-seven thousand, five hundred four".