98010636480 has 336 divisors, whose sum is σ = 349583532480. Its totient is φ = 25173958656.

The previous prime is 98010636443. The next prime is 98010636487. The reversal of 98010636480 is 8463601089.

98010636480 is a `hidden beast` number, since 9 + 8 + 0 + 1 + 0 + 636 + 4 + 8 + 0 = 666.

98010636480 is digitally balanced in base 3, because in such base 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 (45).

It is not an unprimeable number, because it can be changed into a prime (98010636487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42009394 + ... + 42011726.

It is an arithmetic number, because the mean of its divisors is an integer number (1040427180).

Almost surely, 2^98010636480 is an apocalyptic number.

98010636480 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 98010636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174791766240).

98010636480 is an abundant number, since it is smaller than the sum of its proper divisors (251572896000).

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

98010636480 is a wasteful number, since it uses less digits than its factorization.

98010636480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 98010636480 in words is "ninety-eight billion, ten million, six hundred thirty-six thousand, four hundred eighty".