10258675628544 has 480 divisors, whose sum is σ = 34527060412416. Its totient is φ = 2871640719360.

The previous prime is 10258675628533. The next prime is 10258675628573. The reversal of 10258675628544 is 44582657685201.

It is a happy number.

10258675628544 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 8 + 67 + 5 + 6 + 28 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 505667169 + ... + 505687455.

Almost surely, 2^{10258675628544} is an apocalyptic number.

10258675628544 is a gapful number since it is divisible by the number (14) 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 10258675628544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17263530206208).

10258675628544 is an abundant number, since it is smaller than the sum of its proper divisors (24268384783872).

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

10258675628544 is a wasteful number, since it uses less digits than its factorization.

10258675628544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20636 (or 20617 counting only the distinct ones).

The product of its (nonzero) digits is 129024000, while the sum is 63.

The spelling of 10258675628544 in words is "ten trillion, two hundred fifty-eight billion, six hundred seventy-five million, six hundred twenty-eight thousand, five hundred forty-four".