129781474560 has 288 divisors, whose sum is σ = 462978754560. Its totient is φ = 34425446400.

The previous prime is 129781474553. The next prime is 129781474703. The reversal of 129781474560 is 65474187921.

129781474560 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 8 + 1 + 4 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×129781474560² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 129781474497 and 129781474506.

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, 6591130 + ... + 6610790.

It is an arithmetic number, because the mean of its divisors is an integer number (1607565120).

Almost surely, 2^129781474560 is an apocalyptic number.

129781474560 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 129781474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231489377280).

129781474560 is an abundant number, since it is smaller than the sum of its proper divisors (333197280000).

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

129781474560 is a wasteful number, since it uses less digits than its factorization.

129781474560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19882 (or 19862 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 129781474560 in words is "one hundred twenty-nine billion, seven hundred eighty-one million, four hundred seventy-four thousand, five hundred sixty".