1427572677120 has 640 divisors, whose sum is σ = 5005063084032. Its totient is φ = 345558220800.

The previous prime is 1427572677119. The next prime is 1427572677191. The reversal of 1427572677120 is 217762757241.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2108674222 + ... + 2108674898.

Almost surely, 2^{1427572677120} is an apocalyptic number.

1427572677120 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 1427572677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2502531542016).

1427572677120 is an abundant number, since it is smaller than the sum of its proper divisors (3577490406912).

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

1427572677120 is a wasteful number, since it uses less digits than its factorization.

1427572677120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 2304960, while the sum is 51.

The spelling of 1427572677120 in words is "one trillion, four hundred twenty-seven billion, five hundred seventy-two million, six hundred seventy-seven thousand, one hundred twenty".