5102551450400 has 144 divisors (see below), whose sum is σ = 12891982125960. Its totient is φ = 1970710118400.

The previous prime is 5102551450397. The next prime is 5102551450411. The reversal of 5102551450400 is 40541552015.

It can be written as a sum of positive squares in 12 ways, for example, as 468124166416 + 4634427283984 = 684196^2 + 2152772^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 2379716 + ... + 3983484.

Almost surely, 2^{5102551450400} is an apocalyptic number.

5102551450400 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 5102551450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6445991062980).

5102551450400 is an abundant number, since it is smaller than the sum of its proper divisors (7789430675560).

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

5102551450400 is a wasteful number, since it uses less digits than its factorization.

5102551450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603927 (or 1603914 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 32.

The spelling of 5102551450400 in words is "five trillion, one hundred two billion, five hundred fifty-one million, four hundred fifty thousand, four hundred".