10213880107680 has 240 divisors, whose sum is σ = 36146909715840. Its totient is φ = 2716113212928.

The previous prime is 10213880107621. The next prime is 10213880107687. The reversal of 10213880107680 is 8670108831201.

It is a happy number.

10213880107680 is a `hidden beast` number, since 102 + 1 + 388 + 0 + 107 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×10213880107680³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10213880107687) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3554997 + ... + 5750283.

It is an arithmetic number, because the mean of its divisors is an integer number (150612123816).

Almost surely, 2^{10213880107680} is an apocalyptic number.

10213880107680 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 10213880107680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18073454857920).

10213880107680 is an abundant number, since it is smaller than the sum of its proper divisors (25933029608160).

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

10213880107680 is a wasteful number, since it uses less digits than its factorization.

10213880107680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2195673 (or 2195656 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

Adding to 10213880107680 its reverse (8670108831201), we get a palindrome (18883988938881).

The spelling of 10213880107680 in words is "ten trillion, two hundred thirteen billion, eight hundred eighty million, one hundred seven thousand, six hundred eighty".