9969155133840 has 320 divisors, whose sum is σ = 39252611481600. Its totient is φ = 2278144175616.

The previous prime is 9969155133827. The next prime is 9969155133923. The reversal of 9969155133840 is 483315519699.

9969155133840 is a `hidden beast` number, since 9 + 9 + 6 + 9 + 1 + 551 + 3 + 38 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68254329 + ... + 68400231.

It is an arithmetic number, because the mean of its divisors is an integer number (122664410880).

Almost surely, 2^{9969155133840} is an apocalyptic number.

9969155133840 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 9969155133840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19626305740800).

9969155133840 is an abundant number, since it is smaller than the sum of its proper divisors (29283456347760).

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

9969155133840 is a wasteful number, since it uses less digits than its factorization.

9969155133840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150451 (or 150439 counting only the distinct ones).

The product of its (nonzero) digits is 31492800, while the sum is 63.

The spelling of 9969155133840 in words is "nine trillion, nine hundred sixty-nine billion, one hundred fifty-five million, one hundred thirty-three thousand, eight hundred forty".