97656250000 has 75 divisors (see below), whose sum is σ = 236511230461. Its totient is φ = 39062500000.

The previous prime is 97656249979. The next prime is 97656250001. The reversal of 97656250000 is 5265679.

The square root of 97656250000 is 312500.

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

It can be written as a sum of positive squares in 7 ways, for example, as 93496515984 + 4159734016 = 305772^2 + 64496^2 .

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

It is a Duffinian number.

It is a nialpdrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (97656250001) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 19531249998 + ... + 19531250002.

Almost surely, 2^97656250000 is an apocalyptic number.

97656250000 is the 312500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97656250000

97656250000 is an abundant number, since it is smaller than the sum of its proper divisors (138854980461).

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

97656250000 is an frugal number, since it uses more digits than its factorization.

97656250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 7 counting only the distinct ones).

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

It can be divided in two parts, 9 and 7656250000, that multiplied together give a square (68906250000 = 262500²).

The spelling of 97656250000 in words is "ninety-seven billion, six hundred fifty-six million, two hundred fifty thousand".