98578019760 has 320 divisors, whose sum is σ = 337555537920. Its totient is φ = 23599779840.

The previous prime is 98578019669. The next prime is 98578019767. The reversal of 98578019760 is 6791087589.

It is a super-3 number, since 3×98578019760³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 98578019694 and 98578019703.

It is not an unprimeable number, because it can be changed into a prime (98578019767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90189774 + ... + 90190866.

It is an arithmetic number, because the mean of its divisors is an integer number (1054861056).

Almost surely, 2^98578019760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98578019760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168777768960).

98578019760 is an abundant number, since it is smaller than the sum of its proper divisors (238977518160).

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

98578019760 is a wasteful number, since it uses less digits than its factorization.

98578019760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 60.

The spelling of 98578019760 in words is "ninety-eight billion, five hundred seventy-eight million, nineteen thousand, seven hundred sixty".