98827374240 has 480 divisors, whose sum is σ = 402368529024. Its totient is φ = 22375802880.

The previous prime is 98827374223. The next prime is 98827374241. The reversal of 98827374240 is 4247372889.

It is a happy number.

98827374240 is a `hidden beast` number, since 9 + 8 + 8 + 27 + 374 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (98827374241) 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 79 ways as a sum of consecutive naturals, for example, 9701950 + ... + 9712130.

Almost surely, 2^98827374240 is an apocalyptic number.

98827374240 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 98827374240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201184264512).

98827374240 is an abundant number, since it is smaller than the sum of its proper divisors (303541154784).

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

98827374240 is a wasteful number, since it uses less digits than its factorization.

98827374240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10322 (or 10305 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 98827374240 in words is "ninety-eight billion, eight hundred twenty-seven million, three hundred seventy-four thousand, two hundred forty".