1564377490080 has 192 divisors, whose sum is σ = 5494810608000. Its totient is φ = 415682426880.

The previous prime is 1564377490021. The next prime is 1564377490097. The reversal of 1564377490080 is 800947734651.

1564377490080 is a `hidden beast` number, since 1 + 5 + 6 + 4 + 3 + 77 + 490 + 0 + 80 = 666.

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 = 1564377489999 and 1564377490026.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 569571 + ... + 1858269.

It is an arithmetic number, because the mean of its divisors is an integer number (28618805250).

Almost surely, 2^{1564377490080} is an apocalyptic number.

1564377490080 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 1564377490080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2747405304000).

1564377490080 is an abundant number, since it is smaller than the sum of its proper divisors (3930433117920).

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

1564377490080 is a wasteful number, since it uses less digits than its factorization.

1564377490080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289004 (or 1288990 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 1564377490080 in words is "one trillion, five hundred sixty-four billion, three hundred seventy-seven million, four hundred ninety thousand, eighty".