29485774102480 has 40 divisors (see below), whose sum is σ = 70918370476200. Its totient is φ = 11387609307648.

The previous prime is 29485774102427. The next prime is 29485774102501. The reversal of 29485774102480 is 8420147758492.

It can be written as a sum of positive squares in 4 ways, for example, as 12804202263616 + 16681571838864 = 3578296^2 + 4084308^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6354690375 + ... + 6354695014.

It is an arithmetic number, because the mean of its divisors is an integer number (1772959261905).

Almost surely, 2^{29485774102480} is an apocalyptic number.

29485774102480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29485774102480 is an abundant number, since it is smaller than the sum of its proper divisors (41432596373720).

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

29485774102480 is a wasteful number, since it uses less digits than its factorization.

29485774102480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12709385431 (or 12709385425 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 61.

The spelling of 29485774102480 in words is "twenty-nine trillion, four hundred eighty-five billion, seven hundred seventy-four million, one hundred two thousand, four hundred eighty".