98711613000 has 768 divisors, whose sum is σ = 448012131840. Its totient is φ = 18931968000.

The previous prime is 98711612981. The next prime is 98711613047. The reversal of 98711613000 is 31611789.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9003522 + ... + 9014478.

It is an arithmetic number, because the mean of its divisors is an integer number (583349130).

Almost surely, 2^98711613000 is an apocalyptic number.

98711613000 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 98711613000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224006065920).

98711613000 is an abundant number, since it is smaller than the sum of its proper divisors (349300518840).

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

98711613000 is a wasteful number, since it uses less digits than its factorization.

98711613000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11015 (or 10998 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 98711613000 in words is "ninety-eight billion, seven hundred eleven million, six hundred thirteen thousand".