29901125315502 has 144 divisors (see below), whose sum is σ = 78552017436672. Its totient is φ = 8051160797280.

The previous prime is 29901125315471. The next prime is 29901125315519. The reversal of 29901125315502 is 20551352110992.

29901125315502 is a `hidden beast` number, since 2 + 9 + 9 + 0 + 1 + 125 + 3 + 15 + 502 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6966963 + ... + 10408689.

It is an arithmetic number, because the mean of its divisors is an integer number (545500121088).

Almost surely, 2^{29901125315502} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29901125315502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39276008718336).

29901125315502 is an abundant number, since it is smaller than the sum of its proper divisors (48650892121170).

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

29901125315502 is a wasteful number, since it uses less digits than its factorization.

29901125315502 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3441971 (or 3441949 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 45.

The spelling of 29901125315502 in words is "twenty-nine trillion, nine hundred one billion, one hundred twenty-five million, three hundred fifteen thousand, five hundred two".