29976406058420 has 192 divisors, whose sum is σ = 67503666263040. Its totient is φ = 11156141568000.

The previous prime is 29976406058419. The next prime is 29976406058587. The reversal of 29976406058420 is 2485060467992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1917991166 + ... + 1918006794.

It is an arithmetic number, because the mean of its divisors is an integer number (351581595120).

Almost surely, 2^{29976406058420} is an apocalyptic number.

29976406058420 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 29976406058420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33751833131520).

29976406058420 is an abundant number, since it is smaller than the sum of its proper divisors (37527260204620).

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

29976406058420 is a wasteful number, since it uses less digits than its factorization.

29976406058420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16386 (or 16384 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 62.

The spelling of 29976406058420 in words is "twenty-nine trillion, nine hundred seventy-six billion, four hundred six million, fifty-eight thousand, four hundred twenty".