10147730054000 has 320 divisors, whose sum is σ = 31646753049600. Its totient is φ = 3053860992000.

The previous prime is 10147730053991. The next prime is 10147730054051. The reversal of 10147730054000 is 45003774101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3329891 + ... + 5602109.

It is an arithmetic number, because the mean of its divisors is an integer number (98896103280).

Almost surely, 2^{10147730054000} is an apocalyptic number.

10147730054000 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 10147730054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15823376524800).

10147730054000 is an abundant number, since it is smaller than the sum of its proper divisors (21499022995600).

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

10147730054000 is a wasteful number, since it uses less digits than its factorization.

10147730054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272289 (or 2272273 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The spelling of 10147730054000 in words is "ten trillion, one hundred forty-seven billion, seven hundred thirty million, fifty-four thousand".