10258350277000 has 128 divisors (see below), whose sum is σ = 27435604285440. Its totient is φ = 3516912172800.

The previous prime is 10258350276901. The next prime is 10258350277039. The reversal of 10258350277000 is 77205385201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127730857 + ... + 127811143.

It is an arithmetic number, because the mean of its divisors is an integer number (214340658480).

Almost surely, 2^{10258350277000} is an apocalyptic number.

10258350277000 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 10258350277000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13717802142720).

10258350277000 is an abundant number, since it is smaller than the sum of its proper divisors (17177254008440).

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

10258350277000 is a wasteful number, since it uses less digits than its factorization.

10258350277000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98568 (or 98554 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

The spelling of 10258350277000 in words is "ten trillion, two hundred fifty-eight billion, three hundred fifty million, two hundred seventy-seven thousand".