29956326301980 has 384 divisors, whose sum is σ = 101228575472640. Its totient is φ = 7310635637760.

The previous prime is 29956326301963. The next prime is 29956326302033. The reversal of 29956326301980 is 8910362365992.

29956326301980 is a `hidden beast` number, since 2 + 9 + 9 + 563 + 2 + 63 + 0 + 1 + 9 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1005129759 + ... + 1005159561.

It is an arithmetic number, because the mean of its divisors is an integer number (263616081960).

Almost surely, 2^{29956326301980} is an apocalyptic number.

29956326301980 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 29956326301980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50614287736320).

29956326301980 is an abundant number, since it is smaller than the sum of its proper divisors (71272249170660).

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

29956326301980 is a wasteful number, since it uses less digits than its factorization.

29956326301980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31058 (or 31050 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 29956326301980 in words is "twenty-nine trillion, nine hundred fifty-six billion, three hundred twenty-six million, three hundred one thousand, nine hundred eighty".