29140517893872 has 240 divisors, whose sum is σ = 98113260849408. Its totient is φ = 7239879736320.

The previous prime is 29140517893807. The next prime is 29140517893933. The reversal of 29140517893872 is 27839871504192.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5496933 + ... + 9407300.

Almost surely, 2^{29140517893872} is an apocalyptic number.

29140517893872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

29140517893872 is an abundant number, since it is smaller than the sum of its proper divisors (68972742955536).

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

29140517893872 is a wasteful number, since it uses less digits than its factorization.

29140517893872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14904308 (or 14904279 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 66.

The spelling of 29140517893872 in words is "twenty-nine trillion, one hundred forty billion, five hundred seventeen million, eight hundred ninety-three thousand, eight hundred seventy-two".