98078428800 has 960 divisors, whose sum is σ = 404945956800. Its totient is φ = 23169024000.

The previous prime is 98078428787. The next prime is 98078428871. The reversal of 98078428800 is 882487089.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 116898781 + ... + 116899619.

It is an arithmetic number, because the mean of its divisors is an integer number (421818705).

Almost surely, 2^98078428800 is an apocalyptic number.

98078428800 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 98078428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202472978400).

98078428800 is an abundant number, since it is smaller than the sum of its proper divisors (306867528000).

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

98078428800 is a wasteful number, since it uses less digits than its factorization.

98078428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 98078428800 in words is "ninety-eight billion, seventy-eight million, four hundred twenty-eight thousand, eight hundred".