1521421325200 has 540 divisors, whose sum is σ = 4435518713916. Its totient is φ = 499903488000.

The previous prime is 1521421325197. The next prime is 1521421325209. The reversal of 1521421325200 is 25231241251.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 1481273989776 + 40147335424 = 1217076^2 + 200368^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1521421325209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2009803222 + ... + 2009803978.

Almost surely, 2^{1521421325200} is an apocalyptic number.

1521421325200 is a gapful number since it is divisible by the number (10) 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 1521421325200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217759356958).

1521421325200 is an abundant number, since it is smaller than the sum of its proper divisors (2914097388716).

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

1521421325200 is a wasteful number, since it uses less digits than its factorization.

1521421325200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 1521421325200 its reverse (25231241251), we get a palindrome (1546652566451).

The spelling of 1521421325200 in words is "one trillion, five hundred twenty-one billion, four hundred twenty-one million, three hundred twenty-five thousand, two hundred".