29625870749472 has 72 divisors (see below), whose sum is σ = 84454557003180. Its totient is φ = 9851145246720.

The previous prime is 29625870749369. The next prime is 29625870749543. The reversal of 29625870749472 is 27494707852692.

It is a happy number.

29625870749472 is a `hidden beast` number, since 2 + 9 + 6 + 2 + 5 + 87 + 0 + 74 + 9 + 472 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29605830383376 + 20040366096 = 5441124^2 + 141564^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 29625870749472.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125637229 + ... + 125872812.

Almost surely, 2^{29625870749472} is an apocalyptic number.

It is an amenable number.

29625870749472 is an abundant number, since it is smaller than the sum of its proper divisors (54828686253708).

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

29625870749472 is a wasteful number, since it uses less digits than its factorization.

29625870749472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251510466 (or 251510455 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 72.

The spelling of 29625870749472 in words is "twenty-nine trillion, six hundred twenty-five billion, eight hundred seventy million, seven hundred forty-nine thousand, four hundred seventy-two".