98645610455280 has 960 divisors, whose sum is σ = 399408926192640. Its totient is φ = 21343942803456.

The previous prime is 98645610455239. The next prime is 98645610455297. The reversal of 98645610455280 is 8255401654689.

98645610455280 is a `hidden beast` number, since 9 + 8 + 6 + 4 + 5 + 61 + 0 + 45 + 528 + 0 = 666.

98645610455280 is digitally balanced in base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1516962127 + ... + 1517027153.

It is an arithmetic number, because the mean of its divisors is an integer number (416050964784).

Almost surely, 2^{98645610455280} is an apocalyptic number.

98645610455280 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 98645610455280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199704463096320).

98645610455280 is an abundant number, since it is smaller than the sum of its proper divisors (300763315737360).

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

98645610455280 is a wasteful number, since it uses less digits than its factorization.

98645610455280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65286 (or 65277 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 98645610455280 in words is "ninety-eight trillion, six hundred forty-five billion, six hundred ten million, four hundred fifty-five thousand, two hundred eighty".