29485130454000 has 960 divisors, whose sum is σ = 112096862841600. Its totient is φ = 7180030771200.

The previous prime is 29485130453903. The next prime is 29485130454061. The reversal of 29485130454000 is 45403158492.

29485130454000 is a `hidden beast` number, since 2 + 94 + 8 + 5 + 13 + 0 + 4 + 540 + 0 + 0 = 666.

It is a super-2 number, since 2×29485130454000² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27737657469 + ... + 27737658531.

It is an arithmetic number, because the mean of its divisors is an integer number (116767565460).

Almost surely, 2^{29485130454000} is an apocalyptic number.

29485130454000 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 29485130454000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56048431420800).

29485130454000 is an abundant number, since it is smaller than the sum of its proper divisors (82611732387600).

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

29485130454000 is a wasteful number, since it uses less digits than its factorization.

29485130454000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 29485130454000 in words is "twenty-nine trillion, four hundred eighty-five billion, one hundred thirty million, four hundred fifty-four thousand".