29142351680 has 56 divisors (see below), whose sum is σ = 74733329832. Its totient is φ = 10760251392.

The previous prime is 29142351673. The next prime is 29142351683. The reversal of 29142351680 is 8615324192.

It can be written as a sum of positive squares in 4 ways, for example, as 1381460224 + 27760891456 = 37168^2 + 166616^2 .

It is a super-2 number, since 2×29142351680² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29142351683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3498527 + ... + 3506846.

It is an arithmetic number, because the mean of its divisors is an integer number (1334523747).

Almost surely, 2^29142351680 is an apocalyptic number.

29142351680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29142351680 is an abundant number, since it is smaller than the sum of its proper divisors (45590978152).

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

29142351680 is a wasteful number, since it uses less digits than its factorization.

29142351680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7005403 (or 7005393 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The spelling of 29142351680 in words is "twenty-nine billion, one hundred forty-two million, three hundred fifty-one thousand, six hundred eighty".