10218841015680 has 768 divisors, whose sum is σ = 41275524326400. Its totient is φ = 2302038835200.

The previous prime is 10218841015661. The next prime is 10218841015699. The reversal of 10218841015680 is 8651014881201.

10218841015680 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 8 + 8 + 410 + 156 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (10218841015661) and next prime (10218841015699).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85032435 + ... + 85152525.

It is an arithmetic number, because the mean of its divisors is an integer number (53744172300).

Almost surely, 2^{10218841015680} is an apocalyptic number.

10218841015680 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 10218841015680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20637762163200).

10218841015680 is an abundant number, since it is smaller than the sum of its proper divisors (31056683310720).

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

10218841015680 is a wasteful number, since it uses less digits than its factorization.

10218841015680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120223 (or 120208 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 45.

Adding to 10218841015680 its reverse (8651014881201), we get a palindrome (18869855896881).

The spelling of 10218841015680 in words is "ten trillion, two hundred eighteen billion, eight hundred forty-one million, fifteen thousand, six hundred eighty".