5097456000 has 768 divisors, whose sum is σ = 22588675200. Its totient is φ = 1072742400.

The previous prime is 5097455969. The next prime is 5097456031. The reversal of 5097456000 is 6547905.

5097456000 is a `hidden beast` number, since 5 + 0 + 9 + 7 + 45 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5097455969) and next prime (5097456031).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 13103806 + ... + 13104194.

Almost surely, 2^5097456000 is an apocalyptic number.

5097456000 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 5097456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11294337600).

5097456000 is an abundant number, since it is smaller than the sum of its proper divisors (17491219200).

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

5097456000 is a wasteful number, since it uses less digits than its factorization.

5097456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5097456000 is about 71396.4705009989. The cubic root of 5097456000 is about 1721.0143647070.

The spelling of 5097456000 in words is "five billion, ninety-seven million, four hundred fifty-six thousand".