10134637888000 has 640 divisors, whose sum is σ = 26749961821440. Its totient is φ = 3824271360000.

The previous prime is 10134637887961. The next prime is 10134637888043. The reversal of 10134637888000 is 88873643101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17748927715 + ... + 17748928285.

It is an arithmetic number, because the mean of its divisors is an integer number (41796815346).

Almost surely, 2^{10134637888000} is an apocalyptic number.

10134637888000 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 10134637888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13374980910720).

10134637888000 is an abundant number, since it is smaller than the sum of its proper divisors (16615323933440).

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

10134637888000 is an equidigital number, since it uses as much as digits as its factorization.

10134637888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

The spelling of 10134637888000 in words is "ten trillion, one hundred thirty-four billion, six hundred thirty-seven million, eight hundred eighty-eight thousand".