10299213221472 has 576 divisors, whose sum is σ = 35553772800000. Its totient is φ = 2931568174080.

The previous prime is 10299213221461. The next prime is 10299213221509. The reversal of 10299213221472 is 27412231299201.

10299213221472 is a `hidden beast` number, since 1 + 0 + 29 + 9 + 2 + 132 + 21 + 472 = 666.

10299213221472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10299213221472³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 722795404 + ... + 722809652.

It is an arithmetic number, because the mean of its divisors is an integer number (61725300000).

Almost surely, 2^{10299213221472} is an apocalyptic number.

10299213221472 is a gapful number since it is divisible by the number (12) 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 10299213221472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17776886400000).

10299213221472 is an abundant number, since it is smaller than the sum of its proper divisors (25254559578528).

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

10299213221472 is an equidigital number, since it uses as much as digits as its factorization.

10299213221472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14566 (or 14532 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10299213221472 in words is "ten trillion, two hundred ninety-nine billion, two hundred thirteen million, two hundred twenty-one thousand, four hundred seventy-two".