7745828912250 has 256 divisors, whose sum is σ = 23052617183232. Its totient is φ = 1707460128000.

The previous prime is 7745828912203. The next prime is 7745828912267. The reversal of 7745828912250 is 522198285477.

It is a happy number.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6646779 + ... + 7724721.

It is an arithmetic number, because the mean of its divisors is an integer number (90049285872).

Almost surely, 2^{7745828912250} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7745828912250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11526308591616).

7745828912250 is an abundant number, since it is smaller than the sum of its proper divisors (15306788270982).

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

7745828912250 is a wasteful number, since it uses less digits than its factorization.

7745828912250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078054 (or 1078044 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 60.

The spelling of 7745828912250 in words is "seven trillion, seven hundred forty-five billion, eight hundred twenty-eight million, nine hundred twelve thousand, two hundred fifty".