10353126912000 has 832 divisors, whose sum is σ = 35775998189568. Its totient is φ = 2656665600000.

The previous prime is 10353126911927. The next prime is 10353126912049. The reversal of 10353126912000 is 21962135301.

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 63 ways as a sum of consecutive naturals, for example, 4403710825 + ... + 4403713175.

It is an arithmetic number, because the mean of its divisors is an integer number (42999997824).

Almost surely, 2^{10353126912000} is an apocalyptic number.

10353126912000 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 10353126912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17887999094784).

10353126912000 is an abundant number, since it is smaller than the sum of its proper divisors (25422871277568).

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

10353126912000 is an equidigital number, since it uses as much as digits as its factorization.

10353126912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2501 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The spelling of 10353126912000 in words is "ten trillion, three hundred fifty-three billion, one hundred twenty-six million, nine hundred twelve thousand".