29139581952 has 704 divisors, whose sum is σ = 103994150400. Its totient is φ = 7962624000.

The previous prime is 29139581941. The next prime is 29139581963. The reversal of 29139581952 is 25918593192.

It is a happy number.

29139581952 is a `hidden beast` number, since 2 + 9 + 1 + 3 + 9 + 581 + 9 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (29139581941) and next prime (29139581963).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 116093827 + ... + 116094077.

Almost surely, 2^29139581952 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 29139581952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51997075200).

29139581952 is an abundant number, since it is smaller than the sum of its proper divisors (74854568448).

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

29139581952 is a wasteful number, since it uses less digits than its factorization.

29139581952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 305 counting only the distinct ones).

The product of its digits is 1749600, while the sum is 54.

The spelling of 29139581952 in words is "twenty-nine billion, one hundred thirty-nine million, five hundred eighty-one thousand, nine hundred fifty-two".