98292942720 has 640 divisors, whose sum is σ = 408056140800. Its totient is φ = 22081351680.

The previous prime is 98292942667. The next prime is 98292942827. The reversal of 98292942720 is 2724929289.

98292942720 is a `hidden beast` number, since 9 + 82 + 9 + 294 + 272 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21407625 + ... + 21412215.

It is an arithmetic number, because the mean of its divisors is an integer number (637587720).

Almost surely, 2^98292942720 is an apocalyptic number.

98292942720 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 98292942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204028070400).

98292942720 is an abundant number, since it is smaller than the sum of its proper divisors (309763198080).

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

98292942720 is a wasteful number, since it uses less digits than its factorization.

98292942720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4688 (or 4667 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 98292942720 in words is "ninety-eight billion, two hundred ninety-two million, nine hundred forty-two thousand, seven hundred twenty".