10048661133000 has 768 divisors, whose sum is σ = 36768960633600. Its totient is φ = 2278131609600.

The previous prime is 10048661132977. The next prime is 10048661133031. The reversal of 10048661133000 is 33116684001.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13597646631 + ... + 13597647369.

It is an arithmetic number, because the mean of its divisors is an integer number (47876250825).

Almost surely, 2^{10048661133000} is an apocalyptic number.

10048661133000 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 10048661133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18384480316800).

10048661133000 is an abundant number, since it is smaller than the sum of its proper divisors (26720299500600).

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

10048661133000 is a wasteful number, since it uses less digits than its factorization.

10048661133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 10048661133000 in words is "ten trillion, forty-eight billion, six hundred sixty-one million, one hundred thirty-three thousand".