10712217600 has 1008 divisors, whose sum is σ = 46620297360. Its totient is φ = 2388787200.

The previous prime is 10712217511. The next prime is 10712217623. The reversal of 10712217600 is 671221701.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×10712217600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 261273580 + ... + 261273620.

It is an arithmetic number, because the mean of its divisors is an integer number (46250295).

Almost surely, 2^10712217600 is an apocalyptic number.

10712217600 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 10712217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23310148680).

10712217600 is an abundant number, since it is smaller than the sum of its proper divisors (35908079760).

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

10712217600 is an frugal number, since it uses more digits than its factorization.

10712217600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

It can be divided in two parts, 1071 and 2217600, that added together give a triangular number (2218671 = T₂₁₀₆).

The spelling of 10712217600 in words is "ten billion, seven hundred twelve million, two hundred seventeen thousand, six hundred".