10788028311060 has 1152 divisors, whose sum is σ = 47741532733440. Its totient is φ = 1897070284800.

The previous prime is 10788028311059. The next prime is 10788028311103. The reversal of 10788028311060 is 6011382088701.

It is a happy number.

It is a super-2 number, since 2×10788028311060² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10788028310997 and 10788028311015.

It is a congruent number.

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, 106075194 + ... + 106176846.

It is an arithmetic number, because the mean of its divisors is an integer number (41442302720).

Almost surely, 2^{10788028311060} is an apocalyptic number.

10788028311060 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 10788028311060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23870766366720).

10788028311060 is an abundant number, since it is smaller than the sum of its proper divisors (36953504422380).

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

10788028311060 is a wasteful number, since it uses less digits than its factorization.

10788028311060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101749 (or 101744 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 10788028311060 in words is "ten trillion, seven hundred eighty-eight billion, twenty-eight million, three hundred eleven thousand, sixty".