98824872960 has 1232 divisors, whose sum is σ = 405948594240. Its totient is φ = 22852730880.

The previous prime is 98824872953. The next prime is 98824872967. The reversal of 98824872960 is 6927842889.

98824872960 is a `hidden beast` number, since 98 + 8 + 2 + 487 + 2 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (98824872953) and next prime (98824872967).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98824872967) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1190661079 + ... + 1190661161.

Almost surely, 2^98824872960 is an apocalyptic number.

98824872960 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 98824872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202974297120).

98824872960 is an abundant number, since it is smaller than the sum of its proper divisors (307123721280).

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

98824872960 is a wasteful number, since it uses less digits than its factorization.

98824872960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

It can be divided in two parts, 988248 and 72960, that added together give a cube (1061208 = 102³).

The spelling of 98824872960 in words is "ninety-eight billion, eight hundred twenty-four million, eight hundred seventy-two thousand, nine hundred sixty".