29375087952 has 320 divisors, whose sum is σ = 91194163200. Its totient is φ = 7974236160.

The previous prime is 29375087923. The next prime is 29375087953. The reversal of 29375087952 is 25978057392.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 29375087892 and 29375087901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29375087953) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153796177 + ... + 153796367.

It is an arithmetic number, because the mean of its divisors is an integer number (284981760).

Almost surely, 2^29375087952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29375087952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45597081600).

29375087952 is an abundant number, since it is smaller than the sum of its proper divisors (61819075248).

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

29375087952 is a wasteful number, since it uses less digits than its factorization.

29375087952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 57.

The spelling of 29375087952 in words is "twenty-nine billion, three hundred seventy-five million, eighty-seven thousand, nine hundred fifty-two".