29977913700000 has 864 divisors, whose sum is σ = 126288473770368. Its totient is φ = 6852055680000.

The previous prime is 29977913699959. The next prime is 29977913700041. The reversal of 29977913700000 is 731977992.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (29977913699959) and next prime (29977913700041).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 29977913700000.

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 143 ways as a sum of consecutive naturals, for example, 170011882 + ... + 170188118.

It is an arithmetic number, because the mean of its divisors is an integer number (146167215012).

Almost surely, 2^{29977913700000} is an apocalyptic number.

29977913700000 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 29977913700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63144236885184).

29977913700000 is an abundant number, since it is smaller than the sum of its proper divisors (96310560070368).

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

29977913700000 is an frugal number, since it uses more digits than its factorization.

29977913700000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176294 (or 176254 counting only the distinct ones).

The product of its (nonzero) digits is 1500282, while the sum is 54.

The spelling of 29977913700000 in words is "twenty-nine trillion, nine hundred seventy-seven billion, nine hundred thirteen million, seven hundred thousand".