98662354560 has 1728 divisors, whose sum is σ = 455977136160. Its totient is φ = 20309667840.

The previous prime is 98662354543. The next prime is 98662354577. The reversal of 98662354560 is 6545326689.

98662354560 is a `hidden beast` number, since 9 + 8 + 6 + 6 + 23 + 54 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (98662354543) and next prime (98662354577).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 98662354497 and 98662354506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 922078027 + ... + 922078133.

Almost surely, 2^98662354560 is an apocalyptic number.

98662354560 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 98662354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227988568080).

98662354560 is an abundant number, since it is smaller than the sum of its proper divisors (357314781600).

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

98662354560 is a wasteful number, since it uses less digits than its factorization.

98662354560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 98662354560 in words is "ninety-eight billion, six hundred sixty-two million, three hundred fifty-four thousand, five hundred sixty".