129885513357600 has 10368 divisors, whose sum is σ = 713126956953600. Its totient is φ = 22354569216000.

The previous prime is 129885513357577. The next prime is 129885513357739. The reversal of 129885513357600 is 6753315588921.

129885513357600 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 8 + 5 + 5 + 13 + 3 + 5 + 7 + 600 = 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 1727 ways as a sum of consecutive naturals, for example, 2763521560777 + ... + 2763521560823.

It is an arithmetic number, because the mean of its divisors is an integer number (68781535200).

Almost surely, 2^{129885513357600} is an apocalyptic number.

129885513357600 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 129885513357600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356563478476800).

129885513357600 is an abundant number, since it is smaller than the sum of its proper divisors (583241443596000).

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

129885513357600 is a wasteful number, since it uses less digits than its factorization.

129885513357600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 129885513357600 in words is "one hundred twenty-nine trillion, eight hundred eighty-five billion, five hundred thirteen million, three hundred fifty-seven thousand, six hundred".