29480788512 has 240 divisors, whose sum is σ = 104304594240. Its totient is φ = 7979668992.

The previous prime is 29480788501. The next prime is 29480788537. The reversal of 29480788512 is 21588708492.

29480788512 is a `hidden beast` number, since 2 + 9 + 48 + 0 + 7 + 88 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 301978 + ... + 387494.

It is an arithmetic number, because the mean of its divisors is an integer number (434602476).

Almost surely, 2^29480788512 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 29480788512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52152297120).

29480788512 is an abundant number, since it is smaller than the sum of its proper divisors (74823805728).

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

29480788512 is a wasteful number, since it uses less digits than its factorization.

29480788512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85565 (or 85548 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 29480788512 in words is "twenty-nine billion, four hundred eighty million, seven hundred eighty-eight thousand, five hundred twelve".