98770478284800 has 4320 divisors, whose sum is σ = 460019236884480. Its totient is φ = 20486239027200.

The previous prime is 98770478284789. The next prime is 98770478284813. The reversal of 98770478284800 is 848287407789.

98770478284800 is a `hidden beast` number, since 9 + 8 + 7 + 70 + 4 + 78 + 2 + 8 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×98770478284800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 367176499066 + ... + 367176499334.

It is an arithmetic number, because the mean of its divisors is an integer number (106485934464).

Almost surely, 2^{98770478284800} is an apocalyptic number.

98770478284800 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 98770478284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230009618442240).

98770478284800 is an abundant number, since it is smaller than the sum of its proper divisors (361248758599680).

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

98770478284800 is a wasteful number, since it uses less digits than its factorization.

98770478284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 404619264, while the sum is 72.

The spelling of 98770478284800 in words is "ninety-eight trillion, seven hundred seventy billion, four hundred seventy-eight million, two hundred eighty-four thousand, eight hundred".