29657664000000 has 1092 divisors, whose sum is σ = 111106933125552. Its totient is φ = 7904563200000.

The previous prime is 29657663999989. The next prime is 29657664000061. The reversal of 29657664000000 is 46675692.

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

It is a self number, because there is not a number n which added to its sum of digits gives 29657664000000.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 15551999047 + ... + 15552000953.

It is an arithmetic number, because the mean of its divisors is an integer number (101746275756).

Almost surely, 2^{29657664000000} is an apocalyptic number.

29657664000000 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 29657664000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55553466562776).

29657664000000 is an abundant number, since it is smaller than the sum of its proper divisors (81449269125552).

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

29657664000000 is an frugal number, since it uses more digits than its factorization.

29657664000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 29657664000000 in words is "twenty-nine trillion, six hundred fifty-seven billion, six hundred sixty-four million", and thus it is an aban number.