98528402778624 has 1800 divisors, whose sum is σ = 380775217552884. Its totient is φ = 25140790886400.

The previous prime is 98528402778623. The next prime is 98528402778661. The reversal of 98528402778624 is 42687720482589.

98528402778624 is a `hidden beast` number, since 9 + 8 + 52 + 8 + 402 + 77 + 86 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 96887011334400 + 1641391444224 = 9843120^2 + 1281168^2 .

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

It is not an unprimeable number, because it can be changed into a prime (98528402778623) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 25387373164 + ... + 25387377044.

Almost surely, 2^{98528402778624} 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 98528402778624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190387608776442).

98528402778624 is an abundant number, since it is smaller than the sum of its proper divisors (282246814774260).

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

98528402778624 is a wasteful number, since it uses less digits than its factorization.

98528402778624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4000 (or 3937 counting only the distinct ones).

The product of its (nonzero) digits is 867041280, while the sum is 72.

The spelling of 98528402778624 in words is "ninety-eight trillion, five hundred twenty-eight billion, four hundred two million, seven hundred seventy-eight thousand, six hundred twenty-four".