98978700300480 has 3360 divisors, whose sum is σ = 469873818086400. Its totient is φ = 18851970170880.

The previous prime is 98978700300457. The next prime is 98978700300583. The reversal of 98978700300480 is 8400300787989.

98978700300480 is a `hidden beast` number, since 9 + 89 + 7 + 8 + 70 + 0 + 3 + 0 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×98978700300480² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 196776739909 + ... + 196776740411.

It is an arithmetic number, because the mean of its divisors is an integer number (139843398240).

Almost surely, 2^{98978700300480} is an apocalyptic number.

98978700300480 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 98978700300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234936909043200).

98978700300480 is an abundant number, since it is smaller than the sum of its proper divisors (370895117785920).

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

98978700300480 is a wasteful number, since it uses less digits than its factorization.

98978700300480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 98978700300480 in words is "ninety-eight trillion, nine hundred seventy-eight billion, seven hundred million, three hundred thousand, four hundred eighty".