1027269347972 has 96 divisors (see below), whose sum is σ = 2198592614400. Its totient is φ = 410200547328.

The previous prime is 1027269347969. The next prime is 1027269348041. The reversal of 1027269347972 is 2797439627201.

It is a happy number.

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, 10753643 + ... + 10848749.

It is an arithmetic number, because the mean of its divisors is an integer number (22902006400).

Almost surely, 2^{1027269347972} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1027269347972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099296307200).

1027269347972 is an abundant number, since it is smaller than the sum of its proper divisors (1171323266428).

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

1027269347972 is a wasteful number, since it uses less digits than its factorization.

1027269347972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95473 (or 95471 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 59.

The spelling of 1027269347972 in words is "one trillion, twenty-seven billion, two hundred sixty-nine million, three hundred forty-seven thousand, nine hundred seventy-two".