10795413062400 has 216 divisors, whose sum is σ = 35632304386560. Its totient is φ = 2878357278720.

The previous prime is 10795413062387. The next prime is 10795413062411. The reversal of 10795413062400 is 426031459701.

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, 145095609 + ... + 145169991.

It is an arithmetic number, because the mean of its divisors is an integer number (164964372160).

Almost surely, 2^{10795413062400} is an apocalyptic number.

10795413062400 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 10795413062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17816152193280).

10795413062400 is an abundant number, since it is smaller than the sum of its proper divisors (24836891324160).

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

10795413062400 is an equidigital number, since it uses as much as digits as its factorization.

10795413062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81971 (or 81952 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 10795413062400 in words is "ten trillion, seven hundred ninety-five billion, four hundred thirteen million, sixty-two thousand, four hundred".