98989729413120 has 1536 divisors, whose sum is σ = 448017163776000. Its totient is φ = 20165398364160.

The previous prime is 98989729413089. The next prime is 98989729413131. The reversal of 98989729413120 is 2131492798989.

It is a happy number.

98989729413120 is a `hidden beast` number, since 9 + 8 + 9 + 89 + 7 + 2 + 9 + 413 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 729562885 + ... + 729698555.

It is an arithmetic number, because the mean of its divisors is an integer number (291677841000).

Almost surely, 2^{98989729413120} is an apocalyptic number.

98989729413120 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 98989729413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224008581888000).

98989729413120 is an abundant number, since it is smaller than the sum of its proper divisors (349027434362880).

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

98989729413120 is a wasteful number, since it uses less digits than its factorization.

98989729413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135756 (or 135730 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 72.

The spelling of 98989729413120 in words is "ninety-eight trillion, nine hundred eighty-nine billion, seven hundred twenty-nine million, four hundred thirteen thousand, one hundred twenty".