10049053833000 has 1536 divisors, whose sum is σ = 43625102976000. Its totient is φ = 2119451443200.

The previous prime is 10049053832959. The next prime is 10049053833011. The reversal of 10049053833000 is 33835094001.

10049053833000 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 90 + 538 + 3 + 30 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3737095656 + ... + 3737098344.

It is an arithmetic number, because the mean of its divisors is an integer number (28401759750).

Almost surely, 2^{10049053833000} is an apocalyptic number.

10049053833000 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 10049053833000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21812551488000).

10049053833000 is an abundant number, since it is smaller than the sum of its proper divisors (33576049143000).

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

10049053833000 is an equidigital number, since it uses as much as digits as its factorization.

10049053833000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2771 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 10049053833000 in words is "ten trillion, forty-nine billion, fifty-three million, eight hundred thirty-three thousand".