81769159411200 has 1440 divisors, whose sum is σ = 328800055199616. Its totient is φ = 20044631900160.

The previous prime is 81769159411193. The next prime is 81769159411207. The reversal of 81769159411200 is 211495196718.

81769159411200 is a `hidden beast` number, since 8 + 1 + 7 + 6 + 9 + 15 + 9 + 411 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (81769159411193) and next prime (81769159411207).

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81769159411207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2273684419 + ... + 2273720381.

Almost surely, 2^{81769159411200} is an apocalyptic number.

81769159411200 is a gapful number since it is divisible by the number (80) 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 81769159411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164400027599808).

81769159411200 is an abundant number, since it is smaller than the sum of its proper divisors (247030895788416).

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

81769159411200 is a wasteful number, since it uses less digits than its factorization.

81769159411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36066 (or 36033 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 81769159411200 in words is "eighty-one trillion, seven hundred sixty-nine billion, one hundred fifty-nine million, four hundred eleven thousand, two hundred".