10770922800 has 360 divisors, whose sum is σ = 41195117808. Its totient is φ = 2584320000.

The previous prime is 10770922759. The next prime is 10770922801. The reversal of 10770922800 is 822907701.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (10770922801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3998254 + ... + 4000946.

Almost surely, 2^10770922800 is an apocalyptic number.

10770922800 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 10770922800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20597558904).

10770922800 is an abundant number, since it is smaller than the sum of its proper divisors (30424195008).

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

10770922800 is a wasteful number, since it uses less digits than its factorization.

10770922800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2829 (or 2815 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

It can be divided in two parts, 107 and 70922800, that added together give a palindrome (70922907).

The spelling of 10770922800 in words is "ten billion, seven hundred seventy million, nine hundred twenty-two thousand, eight hundred".