10258763412000 has 576 divisors, whose sum is σ = 35666845748352. Its totient is φ = 2575763712000.

The previous prime is 10258763411921. The next prime is 10258763412019. The reversal of 10258763412000 is 21436785201.

It is a self number, because there is not a number n which added to its sum of digits gives 10258763412000.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 426671979 + ... + 426696021.

It is an arithmetic number, because the mean of its divisors is an integer number (61921607202).

Almost surely, 2^{10258763412000} is an apocalyptic number.

10258763412000 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 10258763412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17833422874176).

10258763412000 is an abundant number, since it is smaller than the sum of its proper divisors (25408082336352).

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

10258763412000 is a wasteful number, since it uses less digits than its factorization.

10258763412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24170 (or 24121 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 10258763412000 in words is "ten trillion, two hundred fifty-eight billion, seven hundred sixty-three million, four hundred twelve thousand".