29905073352 has 96 divisors (see below), whose sum is σ = 100978188480. Its totient is φ = 7767550080.

The previous prime is 29905073327. The next prime is 29905073411. The reversal of 29905073352 is 25337050992.

29905073352 is a `hidden beast` number, since 2 + 9 + 90 + 507 + 3 + 3 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 29905073298 and 29905073307.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2691523 + ... + 2702610.

It is an arithmetic number, because the mean of its divisors is an integer number (1051856130).

Almost surely, 2^29905073352 is an apocalyptic number.

29905073352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

29905073352 is an abundant number, since it is smaller than the sum of its proper divisors (71073115128).

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

29905073352 is a wasteful number, since it uses less digits than its factorization.

29905073352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5394163 (or 5394156 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The spelling of 29905073352 in words is "twenty-nine billion, nine hundred five million, seventy-three thousand, three hundred fifty-two".