98578022400 has 1620 divisors, whose sum is σ = 442582165116. Its totient is φ = 20761804800.

The previous prime is 98578022371. The next prime is 98578022429. The reversal of 98578022400 is 422087589.

It is an interprime number because it is at equal distance from previous prime (98578022371) and next prime (98578022429).

It can be written as a sum of positive squares in 6 ways, for example, as 3497066496 + 95080955904 = 59136^2 + 308352^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5798707192 + ... + 5798707208.

Almost surely, 2^98578022400 is an apocalyptic number.

98578022400 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 98578022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221291082558).

98578022400 is an abundant number, since it is smaller than the sum of its proper divisors (344004142716).

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

98578022400 is a wasteful number, since it uses less digits than its factorization.

98578022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 98578022400 in words is "ninety-eight billion, five hundred seventy-eight million, twenty-two thousand, four hundred".