29072709120 has 640 divisors, whose sum is σ = 121168244736. Its totient is φ = 5770838016.

The previous prime is 29072709101. The next prime is 29072709121. The reversal of 29072709120 is 2190727092.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×29072709120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29072709121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11879737 + ... + 11882183.

Almost surely, 2^29072709120 is an apocalyptic number.

29072709120 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 29072709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60584122368).

29072709120 is an abundant number, since it is smaller than the sum of its proper divisors (92095535616).

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

29072709120 is a wasteful number, since it uses less digits than its factorization.

29072709120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The spelling of 29072709120 in words is "twenty-nine billion, seventy-two million, seven hundred nine thousand, one hundred twenty".