98087270400 has 864 divisors, whose sum is σ = 410643717120. Its totient is φ = 21909012480.

The previous prime is 98087270389. The next prime is 98087270453. The reversal of 98087270400 is 407278089.

It is a super-2 number, since 2×98087270400² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 151602877 + ... + 151603523.

It is an arithmetic number, because the mean of its divisors is an integer number (475282080).

Almost surely, 2^98087270400 is an apocalyptic number.

98087270400 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 98087270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205321858560).

98087270400 is an abundant number, since it is smaller than the sum of its proper divisors (312556446720).

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

98087270400 is a wasteful number, since it uses less digits than its factorization.

98087270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 98087270400 in words is "ninety-eight billion, eighty-seven million, two hundred seventy thousand, four hundred".