10218139426560 has 1152 divisors, whose sum is σ = 36995845340160. Its totient is φ = 2387296124928.

The previous prime is 10218139426531. The next prime is 10218139426597. The reversal of 10218139426560 is 6562493181201.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10458688792 + ... + 10458689768.

It is an arithmetic number, because the mean of its divisors is an integer number (32114449080).

Almost surely, 2^{10218139426560} is an apocalyptic number.

10218139426560 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 10218139426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18497922670080).

10218139426560 is an abundant number, since it is smaller than the sum of its proper divisors (26777705913600).

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

10218139426560 is a wasteful number, since it uses less digits than its factorization.

10218139426560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 10218139426560 in words is "ten trillion, two hundred eighteen billion, one hundred thirty-nine million, four hundred twenty-six thousand, five hundred sixty".