29951434960 has 80 divisors (see below), whose sum is σ = 71548545600. Its totient is φ = 11655917568.

The previous prime is 29951434949. The next prime is 29951434973. The reversal of 29951434960 is 6943415992.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×29951434960² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29951434898 and 29951434907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 425131 + ... + 490549.

It is an arithmetic number, because the mean of its divisors is an integer number (894356820).

Almost surely, 2^29951434960 is an apocalyptic number.

29951434960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29951434960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35774272800).

29951434960 is an abundant number, since it is smaller than the sum of its proper divisors (41597110640).

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

29951434960 is a wasteful number, since it uses less digits than its factorization.

29951434960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65588 (or 65582 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 52.

The spelling of 29951434960 in words is "twenty-nine billion, nine hundred fifty-one million, four hundred thirty-four thousand, nine hundred sixty".