10215325520400 has 3840 divisors, whose sum is σ = 49614184488960. Its totient is φ = 1724173516800.

The previous prime is 10215325520371. The next prime is 10215325520423. The reversal of 10215325520400 is 402552351201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 43842598684 + ... + 43842598916.

It is an arithmetic number, because the mean of its divisors is an integer number (12920360544).

Almost surely, 2^{10215325520400} is an apocalyptic number.

10215325520400 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 10215325520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24807092244480).

10215325520400 is an abundant number, since it is smaller than the sum of its proper divisors (39398858968560).

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

10215325520400 is a wasteful number, since it uses less digits than its factorization.

10215325520400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 10215325520400 its reverse (402552351201), we get a palindrome (10617877871601).

The spelling of 10215325520400 in words is "ten trillion, two hundred fifteen billion, three hundred twenty-five million, five hundred twenty thousand, four hundred".