29765200014 has 96 divisors (see below), whose sum is σ = 70838003808. Its totient is φ = 8957952000.

The previous prime is 29765200009. The next prime is 29765200021. The reversal of 29765200014 is 41000256792.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25814862 + ... + 25816014.

It is an arithmetic number, because the mean of its divisors is an integer number (737895873).

Almost surely, 2^29765200014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29765200014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35419001904).

29765200014 is an abundant number, since it is smaller than the sum of its proper divisors (41072803794).

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

29765200014 is a wasteful number, since it uses less digits than its factorization.

29765200014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1954 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 29765200014 in words is "twenty-nine billion, seven hundred sixty-five million, two hundred thousand, fourteen".