1565679601152 has 800 divisors, whose sum is σ = 4952639031648. Its totient is φ = 491899060224.

The previous prime is 1565679601117. The next prime is 1565679601153. The reversal of 1565679601152 is 2511069765651.

It is a happy number.

1565679601152 is a `hidden beast` number, since 1 + 5 + 6 + 567 + 9 + 60 + 1 + 15 + 2 = 666.

It is a super-2 number, since 2×1565679601152² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1565679601153) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9972481458 + ... + 9972481614.

Almost surely, 2^{1565679601152} is an apocalyptic number.

1565679601152 is a gapful number since it is divisible by the number (12) 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 1565679601152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476319515824).

1565679601152 is an abundant number, since it is smaller than the sum of its proper divisors (3386959430496).

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

1565679601152 is an equidigital number, since it uses as much as digits as its factorization.

1565679601152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 54.

The spelling of 1565679601152 in words is "one trillion, five hundred sixty-five billion, six hundred seventy-nine million, six hundred one thousand, one hundred fifty-two".