10785042088128 has 1344 divisors, whose sum is σ = 43071335792640. Its totient is φ = 2567908915200.

The previous prime is 10785042088123. The next prime is 10785042088133. The reversal of 10785042088128 is 82188024058701.

It is a happy number.

10785042088128 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 504 + 2 + 0 + 8 + 8 + 128 = 666.

It is an interprime number because it is at equal distance from previous prime (10785042088123) and next prime (10785042088133).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10785042088123) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1489026075 + ... + 1489033317.

Almost surely, 2^{10785042088128} is an apocalyptic number.

10785042088128 is a gapful number since it is divisible by the number (18) 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 10785042088128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21535667896320).

10785042088128 is an abundant number, since it is smaller than the sum of its proper divisors (32286293704512).

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

10785042088128 is a wasteful number, since it uses less digits than its factorization.

10785042088128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7351 (or 7316 counting only the distinct ones).

The product of its (nonzero) digits is 2293760, while the sum is 54.

The spelling of 10785042088128 in words is "ten trillion, seven hundred eighty-five billion, forty-two million, eighty-eight thousand, one hundred twenty-eight".