98519214768480 has 2304 divisors, whose sum is σ = 423401184460800. Its totient is φ = 21360236544000.

The previous prime is 98519214768479. The next prime is 98519214768551. The reversal of 98519214768480 is 8486741291589.

98519214768480 is a `hidden beast` number, since 9 + 8 + 51 + 9 + 21 + 4 + 76 + 8 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 98519214768399 and 98519214768408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10328039551 + ... + 10328049089.

It is an arithmetic number, because the mean of its divisors is an integer number (183767875200).

Almost surely, 2^{98519214768480} is an apocalyptic number.

98519214768480 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 98519214768480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211700592230400).

98519214768480 is an abundant number, since it is smaller than the sum of its proper divisors (324881969692320).

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

98519214768480 is a wasteful number, since it uses less digits than its factorization.

98519214768480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9671 (or 9651 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 98519214768480 in words is "ninety-eight trillion, five hundred nineteen billion, two hundred fourteen million, seven hundred sixty-eight thousand, four hundred eighty".