98321771520 has 1056 divisors, whose sum is σ = 418146094080. Its totient is φ = 20862074880.

The previous prime is 98321771507. The next prime is 98321771551. The reversal of 98321771520 is 2517712389.

98321771520 is a `hidden beast` number, since 98 + 32 + 1 + 7 + 7 + 1 + 520 = 666.

It is a super-2 number, since 2×98321771520² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 373846909 + ... + 373847171.

It is an arithmetic number, because the mean of its divisors is an integer number (395971680).

Almost surely, 2^98321771520 is an apocalyptic number.

98321771520 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 98321771520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209073047040).

98321771520 is an abundant number, since it is smaller than the sum of its proper divisors (319824322560).

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

98321771520 is a wasteful number, since it uses less digits than its factorization.

98321771520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 98321771520 in words is "ninety-eight billion, three hundred twenty-one million, seven hundred seventy-one thousand, five hundred twenty".