99769869294840 has 384 divisors, whose sum is σ = 344157404947200. Its totient is φ = 24996190464000.

The previous prime is 99769869294833. The next prime is 99769869294917. The reversal of 99769869294840 is 4849296896799.

99769869294840 is a `hidden beast` number, since 9 + 9 + 7 + 69 + 8 + 69 + 2 + 9 + 484 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 405427435 + ... + 405673445.

It is an arithmetic number, because the mean of its divisors is an integer number (896243242050).

Almost surely, 2^{99769869294840} is an apocalyptic number.

99769869294840 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 99769869294840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172078702473600).

99769869294840 is an abundant number, since it is smaller than the sum of its proper divisors (244387535652360).

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

99769869294840 is a wasteful number, since it uses less digits than its factorization.

99769869294840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246539 (or 246532 counting only the distinct ones).

The product of its (nonzero) digits is 30474952704, while the sum is 90.

The spelling of 99769869294840 in words is "ninety-nine trillion, seven hundred sixty-nine billion, eight hundred sixty-nine million, two hundred ninety-four thousand, eight hundred forty".