5102400000 has 240 divisors, whose sum is σ = 17006286528. Its totient is φ = 1359360000.

The previous prime is 5102399969. The next prime is 5102400013. The reversal of 5102400000 is 42015.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4799469 + ... + 4800531.

Almost surely, 2^5102400000 is an apocalyptic number.

5102400000 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 5102400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8503143264).

5102400000 is an abundant number, since it is smaller than the sum of its proper divisors (11903886528).

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

5102400000 is an frugal number, since it uses more digits than its factorization.

5102400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 5102400000 is about 71431.0856700358. The cubic root of 5102400000 is about 1721.5705863237.

Adding to 5102400000 its reverse (42015), we get a palindrome (5102442015).

It can be divided in two parts, 5 and 102400000, that multiplied together give a cube (512000000 = 800³).

The spelling of 5102400000 in words is "five billion, one hundred two million, four hundred thousand".