98651377440 has 1920 divisors, whose sum is σ = 471401441280. Its totient is φ = 18968463360.

The previous prime is 98651377399. The next prime is 98651377457. The reversal of 98651377440 is 4477315689.

98651377440 is a `hidden beast` number, since 9 + 8 + 65 + 137 + 7 + 440 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2294218059 + ... + 2294218101.

It is an arithmetic number, because the mean of its divisors is an integer number (245521584).

Almost surely, 2^98651377440 is an apocalyptic number.

98651377440 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 98651377440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235700720640).

98651377440 is an abundant number, since it is smaller than the sum of its proper divisors (372750063840).

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

98651377440 is a wasteful number, since it uses less digits than its factorization.

98651377440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 98651377440 in words is "ninety-eight billion, six hundred fifty-one million, three hundred seventy-seven thousand, four hundred forty".