1578879723960 has 3456 divisors, whose sum is σ = 7704711705600. Its totient is φ = 272985292800.

The previous prime is 1578879723959. The next prime is 1578879723973. The reversal of 1578879723960 is 693279788751.

1578879723960 is a `hidden beast` number, since 1 + 5 + 78 + 87 + 97 + 2 + 396 + 0 = 666.

It is a super-2 number, since 2×1578879723960² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 38509261540 + ... + 38509261580.

It is an arithmetic number, because the mean of its divisors is an integer number (2229372600).

Almost surely, 2^{1578879723960} is an apocalyptic number.

1578879723960 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 1578879723960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3852355852800).

1578879723960 is an abundant number, since it is smaller than the sum of its proper divisors (6125831981640).

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

1578879723960 is a wasteful number, since it uses less digits than its factorization.

1578879723960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 320060160, while the sum is 72.

The spelling of 1578879723960 in words is "one trillion, five hundred seventy-eight billion, eight hundred seventy-nine million, seven hundred twenty-three thousand, nine hundred sixty".