10770033456 has 800 divisors, whose sum is σ = 41137367040. Its totient is φ = 2644088832.

The previous prime is 10770033433. The next prime is 10770033457. The reversal of 10770033456 is 65433007701.

10770033456 is a `hidden beast` number, since 107 + 70 + 0 + 33 + 456 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10770033456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10770033457) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 160746735 + ... + 160746801.

Almost surely, 2^10770033456 is an apocalyptic number.

10770033456 is a gapful number since it is divisible by the number (16) 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 10770033456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20568683520).

10770033456 is an abundant number, since it is smaller than the sum of its proper divisors (30367333584).

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

10770033456 is a wasteful number, since it uses less digits than its factorization.

10770033456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 10770033456 in words is "ten billion, seven hundred seventy million, thirty-three thousand, four hundred fifty-six".