10782871200 has 288 divisors, whose sum is σ = 39738081600. Its totient is φ = 2820879360.

The previous prime is 10782871189. The next prime is 10782871223. The reversal of 10782871200 is 217828701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10782871200² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1140091 + ... + 1149509.

It is an arithmetic number, because the mean of its divisors is an integer number (137979450).

Almost surely, 2^10782871200 is an apocalyptic number.

10782871200 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 10782871200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19869040800).

10782871200 is an abundant number, since it is smaller than the sum of its proper divisors (28955210400).

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

10782871200 is a wasteful number, since it uses less digits than its factorization.

10782871200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9501 (or 9482 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The spelling of 10782871200 in words is "ten billion, seven hundred eighty-two million, eight hundred seventy-one thousand, two hundred".