10710772800 has 1008 divisors, whose sum is σ = 45844065792. Its totient is φ = 2167603200.

The previous prime is 10710772799. The next prime is 10710772823. The reversal of 10710772800 is 827701701.

It is a super-2 number, since 2×10710772800² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 94785544 + ... + 94785656.

It is an arithmetic number, because the mean of its divisors is an integer number (45480224).

Almost surely, 2^10710772800 is an apocalyptic number.

10710772800 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 10710772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22922032896).

10710772800 is an abundant number, since it is smaller than the sum of its proper divisors (35133292992).

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

10710772800 is a wasteful number, since it uses less digits than its factorization.

10710772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 33.

The spelling of 10710772800 in words is "ten billion, seven hundred ten million, seven hundred seventy-two thousand, eight hundred".