98973829332000 has 3456 divisors, whose sum is σ = 436298499366912. Its totient is φ = 21152710656000.

The previous prime is 98973829331941. The next prime is 98973829332029. The reversal of 98973829332000 is 23392837989.

98973829332000 is a `hidden beast` number, since 9 + 89 + 73 + 82 + 93 + 320 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 249304355802 + ... + 249304356198.

It is an arithmetic number, because the mean of its divisors is an integer number (126243778752).

Almost surely, 2^{98973829332000} is an apocalyptic number.

98973829332000 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 98973829332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218149249683456).

98973829332000 is an abundant number, since it is smaller than the sum of its proper divisors (337324670034912).

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

98973829332000 is a wasteful number, since it uses less digits than its factorization.

98973829332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 98973829332000 in words is "ninety-eight trillion, nine hundred seventy-three billion, eight hundred twenty-nine million, three hundred thirty-two thousand".