1020172765720 has 128 divisors (see below), whose sum is σ = 2453831677440. Its totient is φ = 380792079360.

The previous prime is 1020172765687. The next prime is 1020172765723. The reversal of 1020172765720 is 275672710201.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020172765723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33887875 + ... + 33917965.

It is an arithmetic number, because the mean of its divisors is an integer number (19170559980).

Almost surely, 2^{1020172765720} is an apocalyptic number.

1020172765720 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 1020172765720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226915838720).

1020172765720 is an abundant number, since it is smaller than the sum of its proper divisors (1433658911720).

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

1020172765720 is a wasteful number, since it uses less digits than its factorization.

1020172765720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31025 (or 31021 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 40.

The spelling of 1020172765720 in words is "one trillion, twenty billion, one hundred seventy-two million, seven hundred sixty-five thousand, seven hundred twenty".