29327901480960 has 384 divisors, whose sum is σ = 94333631071680. Its totient is φ = 7778598912000.

The previous prime is 29327901480931. The next prime is 29327901480979. The reversal of 29327901480960 is 6908410972392.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×29327901480960² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 29327901480894 and 29327901480903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5188021494 + ... + 5188027146.

Almost surely, 2^{29327901480960} is an apocalyptic number.

29327901480960 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 29327901480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47166815535840).

29327901480960 is an abundant number, since it is smaller than the sum of its proper divisors (65005729590720).

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

29327901480960 is a wasteful number, since it uses less digits than its factorization.

29327901480960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6565 (or 6545 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 60.

The spelling of 29327901480960 in words is "twenty-nine trillion, three hundred twenty-seven billion, nine hundred one million, four hundred eighty thousand, nine hundred sixty".