9765625000000 has 119 divisors (see below), whose sum is σ = 24223327636687. Its totient is φ = 3906250000000.

The previous prime is 9765624999989. The next prime is 9765625000039. The reversal of 9765625000000 is 5265679.

The square root of 9765625000000 is 3125000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 8 ways, for example, as 1738874744896 + 8026750255104 = 1318664^2 + 2833152^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=1250.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 16 ways as a sum of consecutive naturals, for example, 1953124999998 + ... + 1953125000002.

Almost surely, 2^{9765625000000} is an apocalyptic number.

9765625000000 is the 3125000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9765625000000

9765625000000 is an abundant number, since it is smaller than the sum of its proper divisors (14457702636687).

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

9765625000000 is an frugal number, since it uses more digits than its factorization.

9765625000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 40.

9765625000000 divided by its sum of digits (40) gives a cube (244140625000 = 6250³).

It can be divided in two parts, 9 and 765625000000, that multiplied together give a square (6890625000000 = 2625000²).

The spelling of 9765625000000 in words is "nine trillion, seven hundred sixty-five billion, six hundred twenty-five million", and thus it is an aban number.