29680142580 has 384 divisors, whose sum is σ = 107174430720. Its totient is φ = 6739200000.

The previous prime is 29680142561. The next prime is 29680142581. The reversal of 29680142580 is 8524108692.

29680142580 is a `hidden beast` number, since 2 + 9 + 68 + 0 + 1 + 4 + 2 + 580 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29680142581) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25345395 + ... + 25346565.

It is an arithmetic number, because the mean of its divisors is an integer number (279100080).

Almost surely, 2^29680142580 is an apocalyptic number.

29680142580 is a gapful number since it is divisible by the number (20) 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 29680142580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53587215360).

29680142580 is an abundant number, since it is smaller than the sum of its proper divisors (77494288140).

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

29680142580 is a wasteful number, since it uses less digits than its factorization.

29680142580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 29680142580 in words is "twenty-nine billion, six hundred eighty million, one hundred forty-two thousand, five hundred eighty".