10048672324000 has 192 divisors, whose sum is σ = 26155661156352. Its totient is φ = 3781040640000.

The previous prime is 10048672323997. The next prime is 10048672324001. The reversal of 10048672324000 is 42327684001.

It is not an unprimeable number, because it can be changed into a prime (10048672324001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132630129 + ... + 132705871.

It is an arithmetic number, because the mean of its divisors is an integer number (136227401856).

Almost surely, 2^{10048672324000} is an apocalyptic number.

10048672324000 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 10048672324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13077830578176).

10048672324000 is an abundant number, since it is smaller than the sum of its proper divisors (16106988832352).

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

10048672324000 is a wasteful number, since it uses less digits than its factorization.

10048672324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77736 (or 77718 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 10048672324000 in words is "ten trillion, forty-eight billion, six hundred seventy-two million, three hundred twenty-four thousand".