29153842000 has 40 divisors (see below), whose sum is σ = 70493994792. Its totient is φ = 11661536000.

The previous prime is 29153841973. The next prime is 29153842009. The reversal of 29153842000 is 24835192.

It can be written as a sum of positive squares in 4 ways, for example, as 659051584 + 28494790416 = 25672^2 + 168804^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29153842009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7286461 + ... + 7290460.

Almost surely, 2^29153842000 is an apocalyptic number.

29153842000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29153842000 is an abundant number, since it is smaller than the sum of its proper divisors (41340152792).

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

29153842000 is a wasteful number, since it uses less digits than its factorization.

29153842000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14576944 (or 14576928 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 29153842000 in words is "twenty-nine billion, one hundred fifty-three million, eight hundred forty-two thousand".