98378219520 has 768 divisors, whose sum is σ = 405339742080. Its totient is φ = 22422749184.

The previous prime is 98378219519. The next prime is 98378219521. The reversal of 98378219520 is 2591287389.

98378219520 is a `hidden beast` number, since 9 + 8 + 37 + 82 + 1 + 9 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (98378219519) and next prime (98378219521).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98378219521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278691664 + ... + 278692016.

Almost surely, 2^98378219520 is an apocalyptic number.

98378219520 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 98378219520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202669871040).

98378219520 is an abundant number, since it is smaller than the sum of its proper divisors (306961522560).

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

98378219520 is an frugal number, since it uses more digits than its factorization.

98378219520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 98378219520 in words is "ninety-eight billion, three hundred seventy-eight million, two hundred nineteen thousand, five hundred twenty".