1564185378660 has 96 divisors (see below), whose sum is σ = 4535728361472. Its totient is φ = 402345740160.

The previous prime is 1564185378649. The next prime is 1564185378697. The reversal of 1564185378660 is 668735814651.

It is a happy number.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1564185378594 and 1564185378603.

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, 798622 + ... + 1940661.

It is an arithmetic number, because the mean of its divisors is an integer number (47247170432).

Almost surely, 2^{1564185378660} is an apocalyptic number.

1564185378660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1564185378660 is an abundant number, since it is smaller than the sum of its proper divisors (2971542982812).

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

1564185378660 is a wasteful number, since it uses less digits than its factorization.

1564185378660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2739633 (or 2739631 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 1564185378660 in words is "one trillion, five hundred sixty-four billion, one hundred eighty-five million, three hundred seventy-eight thousand, six hundred sixty".