7925123540928 has 1344 divisors, whose sum is σ = 26251759779840. Its totient is φ = 2097570816000.

The previous prime is 7925123540903. The next prime is 7925123540959. The reversal of 7925123540928 is 8290453215297.

It is a super-2 number, since 2×7925123540928² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41492793313 + ... + 41492793503.

It is an arithmetic number, because the mean of its divisors is an integer number (19532559360).

Almost surely, 2^{7925123540928} 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 7925123540928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13125879889920).

7925123540928 is an abundant number, since it is smaller than the sum of its proper divisors (18326636238912).

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

7925123540928 is a wasteful number, since it uses less digits than its factorization.

7925123540928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 7925123540928 in words is "seven trillion, nine hundred twenty-five billion, one hundred twenty-three million, five hundred forty thousand, nine hundred twenty-eight".