12578879470080 has 1920 divisors, whose sum is σ = 52312098668544. Its totient is φ = 2549101363200.

The previous prime is 12578879470061. The next prime is 12578879470141. The reversal of 12578879470080 is 8007497887521.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 12578879469993 and 12578879470020.

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, 37326051672 + ... + 37326052008.

Almost surely, 2^{12578879470080} is an apocalyptic number.

12578879470080 is a gapful number since it is divisible by the number (10) 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 12578879470080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26156049334272).

12578879470080 is an abundant number, since it is smaller than the sum of its proper divisors (39733219198464).

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

12578879470080 is a wasteful number, since it uses less digits than its factorization.

12578879470080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 66.

The spelling of 12578879470080 in words is "twelve trillion, five hundred seventy-eight billion, eight hundred seventy-nine million, four hundred seventy thousand, eighty".