1023207561672 has 128 divisors (see below), whose sum is σ = 2716608585600. Its totient is φ = 320584140800.

The previous prime is 1023207561671. The next prime is 1023207561689. The reversal of 1023207561672 is 2761657023201.

It is not an unprimeable number, because it can be changed into a prime (1023207561671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13287922 + ... + 13364702.

It is an arithmetic number, because the mean of its divisors is an integer number (21223504575).

Almost surely, 2^{1023207561672} is an apocalyptic number.

1023207561672 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 1023207561672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358304292800).

1023207561672 is an abundant number, since it is smaller than the sum of its proper divisors (1693401023928).

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

1023207561672 is a wasteful number, since it uses less digits than its factorization.

1023207561672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77327 (or 77323 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 1023207561672 in words is "one trillion, twenty-three billion, two hundred seven million, five hundred sixty-one thousand, six hundred seventy-two".