89729129756160 has 1280 divisors, whose sum is σ = 338564930457600. Its totient is φ = 22462339350528.

The previous prime is 89729129756159. The next prime is 89729129756297. The reversal of 89729129756160 is 6165792192798.

89729129756160 is a `hidden beast` number, since 8 + 97 + 2 + 91 + 297 + 5 + 6 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 105192414294 + ... + 105192415146.

It is an arithmetic number, because the mean of its divisors is an integer number (264503851920).

Almost surely, 2^{89729129756160} is an apocalyptic number.

89729129756160 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 89729129756160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169282465228800).

89729129756160 is an abundant number, since it is smaller than the sum of its proper divisors (248835800701440).

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

89729129756160 is a wasteful number, since it uses less digits than its factorization.

89729129756160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 72.

The spelling of 89729129756160 in words is "eighty-nine trillion, seven hundred twenty-nine billion, one hundred twenty-nine million, seven hundred fifty-six thousand, one hundred sixty".