98078519971600 has 405 divisors, whose sum is σ = 276776644909023. Its totient is φ = 33302246100480.

The previous prime is 98078519971501. The next prime is 98078519971609. The reversal of 98078519971600 is 617991587089.

The square root of 98078519971600 is 9903460.

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

It can be written as a sum of positive squares in 4 ways, for example, as 33720645074704 + 64357874896896 = 5806948^2 + 8022336^2 .

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 98078519971600.

It is not an unprimeable number, because it can be changed into a prime (98078519971609) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 176083518522 + ... + 176083519078.

Almost surely, 2^{98078519971600} is an apocalyptic number.

98078519971600 is the 9903460-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98078519971600

98078519971600 is an abundant number, since it is smaller than the sum of its proper divisors (178698124937423).

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

98078519971600 is an equidigital number, since it uses as much as digits as its factorization.

98078519971600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 70.

The spelling of 98078519971600 in words is "ninety-eight trillion, seventy-eight billion, five hundred nineteen million, nine hundred seventy-one thousand, six hundred".