129820138560 has 280 divisors, whose sum is σ = 527764248000. Its totient is φ = 29673133056.

The previous prime is 129820138543. The next prime is 129820138579. The reversal of 129820138560 is 65831028921.

129820138560 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 201 + 385 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 176310 + ... + 539189.

Almost surely, 2^129820138560 is an apocalyptic number.

129820138560 is a gapful number since it is divisible by the number (10) 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 129820138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263882124000).

129820138560 is an abundant number, since it is smaller than the sum of its proper divisors (397944109440).

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

129820138560 is an equidigital number, since it uses as much as digits as its factorization.

129820138560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715535 (or 715516 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 129820138560 in words is "one hundred twenty-nine billion, eight hundred twenty million, one hundred thirty-eight thousand, five hundred sixty".