12858428588544 has 1920 divisors, whose sum is σ = 49241428346880. Its totient is φ = 3242004480000.

The previous prime is 12858428588479. The next prime is 12858428588591. The reversal of 12858428588544 is 44588582485821.

12858428588544 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 8 + 4 + 28 + 58 + 8 + 544 = 666.

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

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, 98155943359 + ... + 98155943489.

It is an arithmetic number, because the mean of its divisors is an integer number (25646577264).

Almost surely, 2^{12858428588544} is an apocalyptic number.

12858428588544 is a gapful number since it is divisible by the number (14) 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 12858428588544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24620714173440).

12858428588544 is an abundant number, since it is smaller than the sum of its proper divisors (36382999758336).

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

12858428588544 is a wasteful number, since it uses less digits than its factorization.

12858428588544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 338 counting only the distinct ones).

The product of its digits is 1048576000, while the sum is 72.

The spelling of 12858428588544 in words is "twelve trillion, eight hundred fifty-eight billion, four hundred twenty-eight million, five hundred eighty-eight thousand, five hundred forty-four".