98872781400 has 288 divisors, whose sum is σ = 356966438400. Its totient is φ = 24446534400.

The previous prime is 98872781393. The next prime is 98872781417. The reversal of 98872781400 is 418727889.

It is a happy number.

98872781400 is a `hidden beast` number, since 98 + 8 + 72 + 7 + 81 + 400 = 666.

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, 1576645 + ... + 1638155.

It is an arithmetic number, because the mean of its divisors is an integer number (1239466800).

Almost surely, 2^98872781400 is an apocalyptic number.

98872781400 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 98872781400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178483219200).

98872781400 is an abundant number, since it is smaller than the sum of its proper divisors (258093657000).

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

98872781400 is a wasteful number, since it uses less digits than its factorization.

98872781400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61599 (or 61587 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 98872781400 in words is "ninety-eight billion, eight hundred seventy-two million, seven hundred eighty-one thousand, four hundred".