99809476968240 has 1600 divisors, whose sum is σ = 394105655623680. Its totient is φ = 23227216404480.

The previous prime is 99809476968233. The next prime is 99809476968259. The reversal of 99809476968240 is 4286967490899.

99809476968240 is a `hidden beast` number, since 9 + 9 + 80 + 9 + 476 + 9 + 68 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 99809476968240.

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, 64021472581 + ... + 64021474139.

Almost surely, 2^{99809476968240} is an apocalyptic number.

99809476968240 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 99809476968240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197052827811840).

99809476968240 is an abundant number, since it is smaller than the sum of its proper divisors (294296178655440).

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

99809476968240 is a wasteful number, since it uses less digits than its factorization.

99809476968240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 3386105856, while the sum is 81.

The spelling of 99809476968240 in words is "ninety-nine trillion, eight hundred nine billion, four hundred seventy-six million, nine hundred sixty-eight thousand, two hundred forty".