29960115223896 has 768 divisors, whose sum is σ = 100204180876800. Its totient is φ = 7963503206400.

The previous prime is 29960115223891. The next prime is 29960115223919. The reversal of 29960115223896 is 69832251106992.

29960115223896 is a `hidden beast` number, since 2 + 9 + 9 + 6 + 0 + 11 + 522 + 3 + 8 + 96 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29960115223891) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7061066751 + ... + 7061070993.

It is an arithmetic number, because the mean of its divisors is an integer number (130474193850).

Almost surely, 2^{29960115223896} is an apocalyptic number.

29960115223896 is a gapful number since it is divisible by the number (26) 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 29960115223896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50102090438400).

29960115223896 is an abundant number, since it is smaller than the sum of its proper divisors (70244065652904).

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

29960115223896 is a wasteful number, since it uses less digits than its factorization.

29960115223896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4752 (or 4745 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 29960115223896 in words is "twenty-nine trillion, nine hundred sixty billion, one hundred fifteen million, two hundred twenty-three thousand, eight hundred ninety-six".