10167771210240 has 640 divisors, whose sum is σ = 37473124423680. Its totient is φ = 2303841927168.

The previous prime is 10167771210199. The next prime is 10167771210293. The reversal of 10167771210240 is 4201217776101.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4004634891 + ... + 4004637429.

It is an arithmetic number, because the mean of its divisors is an integer number (58551756912).

Almost surely, 2^{10167771210240} is an apocalyptic number.

10167771210240 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 10167771210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18736562211840).

10167771210240 is an abundant number, since it is smaller than the sum of its proper divisors (27305353213440).

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

10167771210240 is a wasteful number, since it uses less digits than its factorization.

10167771210240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3192 (or 3176 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 39.

Adding to 10167771210240 its reverse (4201217776101), we get a palindrome (14368988986341).

The spelling of 10167771210240 in words is "ten trillion, one hundred sixty-seven billion, seven hundred seventy-one million, two hundred ten thousand, two hundred forty".