1578980874240 has 2688 divisors, whose sum is σ = 7362999221760. Its totient is φ = 315319910400.

The previous prime is 1578980874239. The next prime is 1578980874277. The reversal of 1578980874240 is 424780898751.

1578980874240 is a `hidden beast` number, since 1 + 57 + 8 + 9 + 80 + 87 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 23566878687 + ... + 23566878753.

It is an arithmetic number, because the mean of its divisors is an integer number (2739211020).

Almost surely, 2^{1578980874240} is an apocalyptic number.

1578980874240 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 1578980874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3681499610880).

1578980874240 is an abundant number, since it is smaller than the sum of its proper divisors (5784018347520).

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

1578980874240 is an equidigital number, since it uses as much as digits as its factorization.

1578980874240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 1578980874240 in words is "one trillion, five hundred seventy-eight billion, nine hundred eighty million, eight hundred seventy-four thousand, two hundred forty".