98765316000 has 576 divisors, whose sum is σ = 379489743360. Its totient is φ = 24182323200.

The previous prime is 98765315993. The next prime is 98765316011. The reversal of 98765316000 is 61356789.

It is a happy number.

98765316000 is a `hidden beast` number, since 9 + 8 + 7 + 6 + 5 + 31 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111851559 + ... + 111852441.

It is an arithmetic number, because the mean of its divisors is an integer number (658836360).

Almost surely, 2^98765316000 is an apocalyptic number.

98765316000 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 98765316000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189744871680).

98765316000 is an abundant number, since it is smaller than the sum of its proper divisors (280724427360).

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

98765316000 is a wasteful number, since it uses less digits than its factorization.

98765316000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 98765316000 in words is "ninety-eight billion, seven hundred sixty-five million, three hundred sixteen thousand".