29691950976 has 160 divisors (see below), whose sum is σ = 88706890800. Its totient is φ = 9858779136.

The previous prime is 29691950971. The next prime is 29691951053. The reversal of 29691950976 is 67905919692.

It is a super-2 number, since 2×29691950976² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29691950971) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2721340 + ... + 2732228.

Almost surely, 2^29691950976 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 29691950976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44353445400).

29691950976 is an abundant number, since it is smaller than the sum of its proper divisors (59014939824).

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

29691950976 is a wasteful number, since it uses less digits than its factorization.

29691950976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11178 (or 11157 counting only the distinct ones).

The product of its (nonzero) digits is 16533720, while the sum is 63.

The spelling of 29691950976 in words is "twenty-nine billion, six hundred ninety-one million, nine hundred fifty thousand, nine hundred seventy-six".