10515023348400 has 480 divisors, whose sum is σ = 40185385113600. Its totient is φ = 2601891532800.

The previous prime is 10515023348369. The next prime is 10515023348437. The reversal of 10515023348400 is 484332051501.

10515023348400 is a `hidden beast` number, since 1 + 0 + 5 + 15 + 0 + 233 + 4 + 8 + 400 = 666.

It is a super-2 number, since 2×10515023348400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 12632281 + ... + 13438919.

It is an arithmetic number, because the mean of its divisors is an integer number (83719552320).

Almost surely, 2^{10515023348400} is an apocalyptic number.

10515023348400 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 10515023348400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20092692556800).

10515023348400 is an abundant number, since it is smaller than the sum of its proper divisors (29670361765200).

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

10515023348400 is a wasteful number, since it uses less digits than its factorization.

10515023348400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806754 (or 806737 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 10515023348400 its reverse (484332051501), we get a palindrome (10999355399901).

The spelling of 10515023348400 in words is "ten trillion, five hundred fifteen billion, twenty-three million, three hundred forty-eight thousand, four hundred".