10888020090000 has 675 divisors, whose sum is σ = 40511169226957. Its totient is φ = 2728455936000.

The previous prime is 10888020089971. The next prime is 10888020090007. The reversal of 10888020090000 is 9002088801.

The square root of 10888020090000 is 3299700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 5317211704464 + 5570808385536 = 2305908^2 + 2360256^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10888020090007) 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 134 ways as a sum of consecutive naturals, for example, 16828469677 + ... + 16828470323.

Almost surely, 2^{10888020090000} is an apocalyptic number.

10888020090000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10888020090000 is the 3299700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10888020090000

10888020090000 is an abundant number, since it is smaller than the sum of its proper divisors (29623149136957).

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

10888020090000 is an frugal number, since it uses more digits than its factorization.

10888020090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

Multiplying 10888020090000 by its sum of digits (36), we get a square (391968723240000 = 19798200²).

10888020090000 divided by its sum of digits (36) gives a square (302445002500 = 549950²).

The spelling of 10888020090000 in words is "ten trillion, eight hundred eighty-eight billion, twenty million, ninety thousand".