29382151680 has 320 divisors, whose sum is σ = 119279508480. Its totient is φ = 6715809792.

The previous prime is 29382151649. The next prime is 29382151681. The reversal of 29382151680 is 8615128392.

29382151680 is a `hidden beast` number, since 2 + 9 + 38 + 21 + 516 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 (29382151681) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 453477 + ... + 514203.

It is an arithmetic number, because the mean of its divisors is an integer number (372748464).

Almost surely, 2^29382151680 is an apocalyptic number.

29382151680 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 29382151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59639754240).

29382151680 is an abundant number, since it is smaller than the sum of its proper divisors (89897356800).

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

29382151680 is an equidigital number, since it uses as much as digits as its factorization.

29382151680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60766 (or 60744 counting only the distinct ones).

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

The spelling of 29382151680 in words is "twenty-nine billion, three hundred eighty-two million, one hundred fifty-one thousand, six hundred eighty".