29487940315680 has 3456 divisors, whose sum is σ = 131255391375360. Its totient is φ = 5523207782400.

The previous prime is 29487940315543. The next prime is 29487940315693. The reversal of 29487940315680 is 8651304978492.

It is a happy number.

It is a super-2 number, since 2×29487940315680² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

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 575 ways as a sum of consecutive naturals, for example, 104197668819 + ... + 104197669101.

It is an arithmetic number, because the mean of its divisors is an integer number (37978990560).

It is a 1-persistent number, because it is pandigital, but 2⋅29487940315680 = 58975880631360 is not.

Almost surely, 2^{29487940315680} is an apocalyptic number.

29487940315680 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 29487940315680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65627695687680).

29487940315680 is an abundant number, since it is smaller than the sum of its proper divisors (101767451059680).

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

29487940315680 is a wasteful number, since it uses less digits than its factorization.

29487940315680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 66.

The spelling of 29487940315680 in words is "twenty-nine trillion, four hundred eighty-seven billion, nine hundred forty million, three hundred fifteen thousand, six hundred eighty".