98110962720 has 576 divisors, whose sum is σ = 369561709440. Its totient is φ = 24297781248.

The previous prime is 98110962689. The next prime is 98110962727. The reversal of 98110962720 is 2726901189.

98110962720 is a `hidden beast` number, since 9 + 8 + 1 + 10 + 9 + 627 + 2 + 0 = 666.

It is a super-3 number, since 3×98110962720³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (98110962727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82653967 + ... + 82655153.

It is an arithmetic number, because the mean of its divisors is an integer number (641600190).

Almost surely, 2^98110962720 is an apocalyptic number.

98110962720 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 98110962720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184780854720).

98110962720 is an abundant number, since it is smaller than the sum of its proper divisors (271450746720).

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

98110962720 is a wasteful number, since it uses less digits than its factorization.

98110962720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 98110962720 in words is "ninety-eight billion, one hundred ten million, nine hundred sixty-two thousand, seven hundred twenty".