10260450214560 has 2304 divisors, whose sum is σ = 45079101849600. Its totient is φ = 2068315471872.

The previous prime is 10260450214423. The next prime is 10260450214561. The reversal of 10260450214560 is 6541205406201.

10260450214560 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 0 + 4 + 502 + 145 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10260450214561) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 65353186002 + ... + 65353186158.

It is an arithmetic number, because the mean of its divisors is an integer number (19565582400).

Almost surely, 2^{10260450214560} is an apocalyptic number.

10260450214560 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 10260450214560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22539550924800).

10260450214560 is an abundant number, since it is smaller than the sum of its proper divisors (34818651635040).

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

10260450214560 is a wasteful number, since it uses less digits than its factorization.

10260450214560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 10260450214560 in words is "ten trillion, two hundred sixty billion, four hundred fifty million, two hundred fourteen thousand, five hundred sixty".