10033616833380 has 288 divisors, whose sum is σ = 34897872522240. Its totient is φ = 2285850378240.

The previous prime is 10033616833363. The next prime is 10033616833403. The reversal of 10033616833380 is 8333861633001.

10033616833380 is a `hidden beast` number, since 100 + 3 + 3 + 6 + 168 + 3 + 3 + 380 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 480549781 + ... + 480570659.

It is an arithmetic number, because the mean of its divisors is an integer number (121173168480).

Almost surely, 2^{10033616833380} is an apocalyptic number.

10033616833380 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 10033616833380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17448936261120).

10033616833380 is an abundant number, since it is smaller than the sum of its proper divisors (24864255688860).

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

10033616833380 is a wasteful number, since it uses less digits than its factorization.

10033616833380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22139 (or 22134 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 10033616833380 in words is "ten trillion, thirty-three billion, six hundred sixteen million, eight hundred thirty-three thousand, three hundred eighty".