10258483342080 has 288 divisors, whose sum is σ = 33192623923200. Its totient is φ = 2699757305856.

The previous prime is 10258483342067. The next prime is 10258483342099. The reversal of 10258483342080 is 8024338485201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 824829622 + ... + 824842058.

It is an arithmetic number, because the mean of its divisors is an integer number (115252166400).

Almost surely, 2^{10258483342080} is an apocalyptic number.

10258483342080 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 10258483342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16596311961600).

10258483342080 is an abundant number, since it is smaller than the sum of its proper divisors (22934140581120).

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

10258483342080 is a wasteful number, since it uses less digits than its factorization.

10258483342080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15259 (or 15245 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 10258483342080 in words is "ten trillion, two hundred fifty-eight billion, four hundred eighty-three million, three hundred forty-two thousand, eighty".