29966590192896 has 360 divisors, whose sum is σ = 102710317336704. Its totient is φ = 8512385126400.

The previous prime is 29966590192879. The next prime is 29966590192927. The reversal of 29966590192896 is 69829109566992.

29966590192896 is a `hidden beast` number, since 2 + 9 + 9 + 6 + 6 + 590 + 19 + 2 + 8 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24514621 + ... + 25707971.

Almost surely, 2^{29966590192896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29966590192896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51355158668352).

29966590192896 is an abundant number, since it is smaller than the sum of its proper divisors (72743727143808).

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

29966590192896 is a wasteful number, since it uses less digits than its factorization.

29966590192896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193559 (or 1193536 counting only the distinct ones).

The product of its (nonzero) digits is 2040733440, while the sum is 81.

The spelling of 29966590192896 in words is "twenty-nine trillion, nine hundred sixty-six billion, five hundred ninety million, one hundred ninety-two thousand, eight hundred ninety-six".