29054930688 has 504 divisors, whose sum is σ = 103804850688. Its totient is φ = 7932266496.

The previous prime is 29054930651. The next prime is 29054930717. The reversal of 29054930688 is 88603945092.

29054930688 is a `hidden beast` number, since 2 + 9 + 0 + 549 + 30 + 68 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 30045981 + ... + 30046947.

Almost surely, 2^29054930688 is an apocalyptic number.

29054930688 is a gapful number since it is divisible by the number (28) 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 29054930688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51902425344).

29054930688 is an abundant number, since it is smaller than the sum of its proper divisors (74749920000).

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

29054930688 is an frugal number, since it uses more digits than its factorization.

29054930688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 29054930688 in words is "twenty-nine billion, fifty-four million, nine hundred thirty thousand, six hundred eighty-eight".