10770697350 has 288 divisors, whose sum is σ = 34850150400. Its totient is φ = 2381400000.

The previous prime is 10770697337. The next prime is 10770697367. The reversal of 10770697350 is 5379607701.

10770697350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10770697296 and 10770697305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4783725 + ... + 4785975.

Almost surely, 2^10770697350 is an apocalyptic number.

10770697350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10770697350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17425075200).

10770697350 is an abundant number, since it is smaller than the sum of its proper divisors (24079453050).

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

10770697350 is a wasteful number, since it uses less digits than its factorization.

10770697350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 277830, while the sum is 45.

The spelling of 10770697350 in words is "ten billion, seven hundred seventy million, six hundred ninety-seven thousand, three hundred fifty".