1027669419504 has 600 divisors, whose sum is σ = 3787407986208. Its totient is φ = 266577454080.

The previous prime is 1027669419503. The next prime is 1027669419509. The reversal of 1027669419504 is 4059149667201.

1027669419504 is a `hidden beast` number, since 1 + 0 + 2 + 76 + 69 + 4 + 1 + 9 + 504 = 666.

It is a super-2 number, since 2×1027669419504² (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 (1027669419503) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 50348469 + ... + 50368875.

Almost surely, 2^{1027669419504} is an apocalyptic number.

1027669419504 is a gapful number since it is divisible by the number (14) 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 1027669419504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893703993104).

1027669419504 is an abundant number, since it is smaller than the sum of its proper divisors (2759738566704).

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

1027669419504 is a wasteful number, since it uses less digits than its factorization.

1027669419504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20515 (or 20493 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1027669419504 in words is "one trillion, twenty-seven billion, six hundred sixty-nine million, four hundred nineteen thousand, five hundred four".