10468051200 has 648 divisors, whose sum is σ = 39855449088. Its totient is φ = 2717245440.

The previous prime is 10468051169. The next prime is 10468051229. The reversal of 10468051200 is 215086401.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82425537 + ... + 82425663.

Almost surely, 2^10468051200 is an apocalyptic number.

10468051200 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 10468051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19927724544).

10468051200 is an abundant number, since it is smaller than the sum of its proper divisors (29387397888).

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

10468051200 is an equidigital number, since it uses as much as digits as its factorization.

10468051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 10468051200 in words is "ten billion, four hundred sixty-eight million, fifty-one thousand, two hundred".