10258350735360 has 864 divisors, whose sum is σ = 41128449933312. Its totient is φ = 2164135034880.

The previous prime is 10258350735331. The next prime is 10258350735371. The reversal of 10258350735360 is 6353705385201.

It is a super-2 number, since 2×10258350735360² (a number of 27 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1252388865 + ... + 1252397055.

It is an arithmetic number, because the mean of its divisors is an integer number (47602372608).

Almost surely, 2^{10258350735360} is an apocalyptic number.

10258350735360 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 10258350735360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20564224966656).

10258350735360 is an abundant number, since it is smaller than the sum of its proper divisors (30870099197952).

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

10258350735360 is an frugal number, since it uses more digits than its factorization.

10258350735360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8260 (or 8221 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 48.

The spelling of 10258350735360 in words is "ten trillion, two hundred fifty-eight billion, three hundred fifty million, seven hundred thirty-five thousand, three hundred sixty".