98755396880625 has 225 divisors, whose sum is σ = 191046733540663. Its totient is φ = 50819963544000.

The previous prime is 98755396880449. The next prime is 98755396880629. The reversal of 98755396880625 is 52608869355789.

It is a happy number.

The square root of 98755396880625 is 9937575.

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

98755396880625 is a `hidden beast` number, since 9 + 8 + 75 + 539 + 6 + 8 + 8 + 0 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 73861803415521 + 24893593465104 = 8594289^2 + 4989348^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 98755396880625 - 2²³ = 98755388492017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (98755396880629) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 64842676114 + ... + 64842677636.

Almost surely, 2^{98755396880625} is an apocalyptic number.

98755396880625 is the 9937575-th square number.

98755396880625 is the 4968788-th centered octagonal number.

It is an amenable number.

98755396880625 is a deficient number, since it is larger than the sum of its proper divisors (92291336660038).

98755396880625 is an frugal number, since it uses more digits than its factorization.

98755396880625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3136 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 7838208000, while the sum is 81.

98755396880625 divided by its sum of digits (81) gives a square (1219202430625 = 1104175²).

The spelling of 98755396880625 in words is "ninety-eight trillion, seven hundred fifty-five billion, three hundred ninety-six million, eight hundred eighty thousand, six hundred twenty-five".