1527979716672 has 112 divisors (see below), whose sum is σ = 4257734496960. Its totient is φ = 482273077248.

The previous prime is 1527979716643. The next prime is 1527979716673. The reversal of 1527979716672 is 2766179797251.

It is a super-2 number, since 2×1527979716672² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1527979716597 and 1527979716606.

It is not an unprimeable number, because it can be changed into a prime (1527979716673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7091358 + ... + 7303650.

It is an arithmetic number, because the mean of its divisors is an integer number (38015486580).

Almost surely, 2^{1527979716672} is an apocalyptic number.

1527979716672 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 1527979716672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128867248480).

1527979716672 is an abundant number, since it is smaller than the sum of its proper divisors (2729754780288).

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

1527979716672 is a wasteful number, since it uses less digits than its factorization.

1527979716672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214300 (or 214290 counting only the distinct ones).

The product of its digits is 140026320, while the sum is 69.

The spelling of 1527979716672 in words is "one trillion, five hundred twenty-seven billion, nine hundred seventy-nine million, seven hundred sixteen thousand, six hundred seventy-two".