29021041201152 has 3328 divisors, whose sum is σ = 117587754418176. Its totient is φ = 6166256025600.

The previous prime is 29021041201079. The next prime is 29021041201193. The reversal of 29021041201152 is 25110214012092.

It is a tau number, because it is divible by the number of its divisors (3328).

It is a super-2 number, since 2×29021041201152² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 784352464878 + ... + 784352464914.

Almost surely, 2^{29021041201152} is an apocalyptic number.

29021041201152 is a gapful number since it is divisible by the number (22) 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 29021041201152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58793877209088).

29021041201152 is an abundant number, since it is smaller than the sum of its proper divisors (88566713217024).

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

29021041201152 is a wasteful number, since it uses less digits than its factorization.

29021041201152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The spelling of 29021041201152 in words is "twenty-nine trillion, twenty-one billion, forty-one million, two hundred one thousand, one hundred fifty-two".