10250972414784 has 896 divisors, whose sum is σ = 32717202739200. Its totient is φ = 3137887641600.

The previous prime is 10250972414723. The next prime is 10250972414807. The reversal of 10250972414784 is 48741427905201.

It is a happy number.

10250972414784 is a `hidden beast` number, since 10 + 2 + 50 + 9 + 72 + 41 + 478 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 10250972414784.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59254175722 + ... + 59254175894.

It is an arithmetic number, because the mean of its divisors is an integer number (36514735200).

Almost surely, 2^{10250972414784} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10250972414784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16358601369600).

10250972414784 is an abundant number, since it is smaller than the sum of its proper divisors (22466230324416).

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

10250972414784 is a wasteful number, since it uses less digits than its factorization.

10250972414784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 10250972414784 in words is "ten trillion, two hundred fifty billion, nine hundred seventy-two million, four hundred fourteen thousand, seven hundred eighty-four".