10327910400 has 576 divisors, whose sum is σ = 39322483200. Its totient is φ = 2654208000.

The previous prime is 10327910387. The next prime is 10327910401. The reversal of 10327910400 is 401972301.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10327910401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42854280 + ... + 42854520.

It is an arithmetic number, because the mean of its divisors is an integer number (68268200).

Almost surely, 2^10327910400 is an apocalyptic number.

10327910400 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 10327910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19661241600).

10327910400 is an abundant number, since it is smaller than the sum of its proper divisors (28994572800).

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

10327910400 is a wasteful number, since it uses less digits than its factorization.

10327910400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 10327910400 in words is "ten billion, three hundred twenty-seven million, nine hundred ten thousand, four hundred".