98370545972400 has 360 divisors, whose sum is σ = 367978620909536. Its totient is φ = 24191496806400.

The previous prime is 98370545972399. The next prime is 98370545972411. The reversal of 98370545972400 is 427954507389.

98370545972400 is a `hidden beast` number, since 9 + 8 + 3 + 70 + 5 + 459 + 72 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48759720 + ... + 50737080.

Almost surely, 2^{98370545972400} is an apocalyptic number.

98370545972400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98370545972400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183989310454768).

98370545972400 is an abundant number, since it is smaller than the sum of its proper divisors (269608074937136).

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

98370545972400 is a wasteful number, since it uses less digits than its factorization.

98370545972400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978461 (or 1978447 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 98370545972400 in words is "ninety-eight trillion, three hundred seventy billion, five hundred forty-five million, nine hundred seventy-two thousand, four hundred".