12958135470 has 384 divisors, whose sum is σ = 42785832960. Its totient is φ = 2654104320.

The previous prime is 12958135433. The next prime is 12958135499. The reversal of 12958135470 is 7453185921.

12958135470 is a `hidden beast` number, since 1 + 2 + 95 + 8 + 13 + 547 + 0 = 666.

12958135470 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17439919 + ... + 17440661.

It is an arithmetic number, because the mean of its divisors is an integer number (111421440).

Almost surely, 2^12958135470 is an apocalyptic number.

12958135470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12958135470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21392916480).

12958135470 is an abundant number, since it is smaller than the sum of its proper divisors (29827697490).

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

12958135470 is a wasteful number, since it uses less digits than its factorization.

12958135470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 12958135470 in words is "twelve billion, nine hundred fifty-eight million, one hundred thirty-five thousand, four hundred seventy".