98826877440 has 640 divisors, whose sum is σ = 371226240000. Its totient is φ = 24879955968.

The previous prime is 98826877399. The next prime is 98826877447. The reversal of 98826877440 is 4477862889.

98826877440 is a `hidden beast` number, since 98 + 8 + 26 + 87 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is not an unprimeable number, because it can be changed into a prime (98826877447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94210036 + ... + 94211084.

It is an arithmetic number, because the mean of its divisors is an integer number (580041000).

Almost surely, 2^98826877440 is an apocalyptic number.

98826877440 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 98826877440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185613120000).

98826877440 is an abundant number, since it is smaller than the sum of its proper divisors (272399362560).

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

98826877440 is a wasteful number, since it uses less digits than its factorization.

98826877440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 98826877440 in words is "ninety-eight billion, eight hundred twenty-six million, eight hundred seventy-seven thousand, four hundred forty".