5102254400000 has 240 divisors, whose sum is σ = 12816714318408. Its totient is φ = 2028994560000.

The previous prime is 5102254399987. The next prime is 5102254400017. The reversal of 5102254400000 is 44522015.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1071539663104 + 4030714736896 = 1035152^2 + 2007664^2 .

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, 276790784 + ... + 276809216.

Almost surely, 2^{5102254400000} is an apocalyptic number.

5102254400000 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 5102254400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6408357159204).

5102254400000 is an abundant number, since it is smaller than the sum of its proper divisors (7714459918408).

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

5102254400000 is an frugal number, since it uses more digits than its factorization.

5102254400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18649 (or 18613 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

Adding to 5102254400000 its reverse (44522015), we get a palindrome (5102298922015).

The spelling of 5102254400000 in words is "five trillion, one hundred two billion, two hundred fifty-four million, four hundred thousand".