29973062025216 has 408 divisors, whose sum is σ = 90482727868416. Its totient is φ = 9542904053760.

The previous prime is 29973062025197. The next prime is 29973062025241. The reversal of 29973062025216 is 61252026037992.

29973062025216 is a `hidden beast` number, since 2 + 9 + 9 + 7 + 3 + 0 + 620 + 2 + 5 + 2 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13986495441 + ... + 13986497583.

Almost surely, 2^{29973062025216} 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 29973062025216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45241363934208).

29973062025216 is an abundant number, since it is smaller than the sum of its proper divisors (60509665843200).

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

29973062025216 is a wasteful number, since it uses less digits than its factorization.

29973062025216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3235 (or 3202 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 29973062025216 in words is "twenty-nine trillion, nine hundred seventy-three billion, sixty-two million, twenty-five thousand, two hundred sixteen".