87729380160 has 224 divisors, whose sum is σ = 292875004800. Its totient is φ = 22217072640.

The previous prime is 87729380153. The next prime is 87729380203. The reversal of 87729380160 is 6108392778.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1672411 + ... + 1724069.

It is an arithmetic number, because the mean of its divisors is an integer number (1307477700).

Almost surely, 2^87729380160 is an apocalyptic number.

87729380160 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 87729380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146437502400).

87729380160 is an abundant number, since it is smaller than the sum of its proper divisors (205145624640).

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

87729380160 is a wasteful number, since it uses less digits than its factorization.

87729380160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51769 (or 51759 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 87729380160 in words is "eighty-seven billion, seven hundred twenty-nine million, three hundred eighty thousand, one hundred sixty".