29155144680000 has 210 divisors, whose sum is σ = 104426521733534. Its totient is φ = 7774705152000.

The previous prime is 29155144679987. The next prime is 29155144680049. The reversal of 29155144680000 is 8644155192.

29155144680000 is a `hidden beast` number, since 2 + 9 + 15 + 514 + 46 + 80 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 14047743873024 + 15107400806976 = 3748032^2 + 3886824^2 .

It is a super-2 number, since 2×29155144680000² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 40133257 + ... + 40853256.

Almost surely, 2^{29155144680000} is an apocalyptic number.

29155144680000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29155144680000 is an abundant number, since it is smaller than the sum of its proper divisors (75271377053534).

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

29155144680000 is an equidigital number, since it uses as much as digits as its factorization.

29155144680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80986551 (or 80986523 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 29155144680000 in words is "twenty-nine trillion, one hundred fifty-five billion, one hundred forty-four million, six hundred eighty thousand".