5115074400 has 288 divisors, whose sum is σ = 19098777600. Its totient is φ = 1319846400.

The previous prime is 5115074399. The next prime is 5115074441. The reversal of 5115074400 is 44705115.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5115074400² = 52327972235070720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 665781 + ... + 673419.

It is an arithmetic number, because the mean of its divisors is an integer number (66315200).

Almost surely, 2^5115074400 is an apocalyptic number.

5115074400 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 5115074400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9549388800).

5115074400 is an abundant number, since it is smaller than the sum of its proper divisors (13983703200).

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

5115074400 is a wasteful number, since it uses less digits than its factorization.

5115074400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7699 (or 7680 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 5115074400 is about 71519.7483217048. The cubic root of 5115074400 is about 1722.9948724257.

Adding to 5115074400 its reverse (44705115), we get a palindrome (5159779515).

The spelling of 5115074400 in words is "five billion, one hundred fifteen million, seventy-four thousand, four hundred".