29935006920 has 2048 divisors, whose sum is σ = 146313216000. Its totient is φ = 5255331840.

The previous prime is 29935006889. The next prime is 29935006949. The reversal of 29935006920 is 2960053992.

29935006920 is a `hidden beast` number, since 299 + 350 + 0 + 6 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×29935006920² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 730122100 + ... + 730122140.

It is an arithmetic number, because the mean of its divisors is an integer number (71442000).

Almost surely, 2^29935006920 is an apocalyptic number.

29935006920 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 29935006920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73156608000).

29935006920 is an abundant number, since it is smaller than the sum of its proper divisors (116378209080).

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

29935006920 is a wasteful number, since it uses less digits than its factorization.

29935006920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 29935006920 in words is "twenty-nine billion, nine hundred thirty-five million, six thousand, nine hundred twenty".