129023518740480 has 4992 divisors, whose sum is σ = 630257110963200. Its totient is φ = 24704433782784.

The previous prime is 129023518740449. The next prime is 129023518740511. The reversal of 129023518740480 is 84047815320921.

129023518740480 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 2 + 3 + 518 + 7 + 40 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (129023518740449) and next prime (129023518740511).

It is a tau number, because it is divible by the number of its divisors (4992).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 173652110989 + ... + 173652111731.

Almost surely, 2^{129023518740480} is an apocalyptic number.

129023518740480 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 129023518740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315128555481600).

129023518740480 is an abundant number, since it is smaller than the sum of its proper divisors (501233592222720).

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

129023518740480 is a wasteful number, since it uses less digits than its factorization.

129023518740480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 129023518740480 in words is "one hundred twenty-nine trillion, twenty-three billion, five hundred eighteen million, seven hundred forty thousand, four hundred eighty".