29145270960 has 200 divisors, whose sum is σ = 109012762320. Its totient is φ = 7174199808.

The previous prime is 29145270953. The next prime is 29145271007. The reversal of 29145270960 is 6907254192.

29145270960 is a `hidden beast` number, since 29 + 14 + 527 + 0 + 96 + 0 = 666.

It is a super-3 number, since 3×29145270960³ (a number of 32 digits) contains 333 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 39 ways as a sum of consecutive naturals, for example, 88750 + ... + 257229.

Almost surely, 2^29145270960 is an apocalyptic number.

29145270960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29145270960 is an abundant number, since it is smaller than the sum of its proper divisors (79867491360).

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

29145270960 is a wasteful number, since it uses less digits than its factorization.

29145270960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346017 (or 346002 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 29145270960 in words is "twenty-nine billion, one hundred forty-five million, two hundred seventy thousand, nine hundred sixty".