1578377180160 has 704 divisors, whose sum is σ = 6479260035840. Its totient is φ = 360122941440.

The previous prime is 1578377180137. The next prime is 1578377180167. The reversal of 1578377180160 is 610817738751.

1578377180160 is a `hidden beast` number, since 1 + 578 + 3 + 7 + 7 + 1 + 8 + 0 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1578377180097 and 1578377180106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1578377180167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25820352 + ... + 25881408.

Almost surely, 2^{1578377180160} is an apocalyptic number.

1578377180160 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 1578377180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3239630017920).

1578377180160 is an abundant number, since it is smaller than the sum of its proper divisors (4900882855680).

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

1578377180160 is a wasteful number, since it uses less digits than its factorization.

1578377180160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61119 (or 61095 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 54.

The spelling of 1578377180160 in words is "one trillion, five hundred seventy-eight billion, three hundred seventy-seven million, one hundred eighty thousand, one hundred sixty".