1365075006972 has 96 divisors (see below), whose sum is σ = 3249265152000. Its totient is φ = 445958203392.

The previous prime is 1365075006937. The next prime is 1365075007007. The reversal of 1365075006972 is 2796005705631.

It is an interprime number because it is at equal distance from previous prime (1365075006937) and next prime (1365075007007).

It is a congruent 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, 366264573 + ... + 366268299.

It is an arithmetic number, because the mean of its divisors is an integer number (33846512000).

Almost surely, 2^{1365075006972} is an apocalyptic number.

1365075006972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1365075006972 is an abundant number, since it is smaller than the sum of its proper divisors (1884190145028).

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

1365075006972 is a wasteful number, since it uses less digits than its factorization.

1365075006972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6555 (or 6553 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 51.

The spelling of 1365075006972 in words is "one trillion, three hundred sixty-five billion, seventy-five million, six thousand, nine hundred seventy-two".