1020738765072 has 80 divisors (see below), whose sum is σ = 2854018025600. Its totient is φ = 312495169536.

The previous prime is 1020738765031. The next prime is 1020738765083. The reversal of 1020738765072 is 2705678370201.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3985873 + ... + 4234224.

It is an arithmetic number, because the mean of its divisors is an integer number (35675225320).

Almost surely, 2^{1020738765072} is an apocalyptic number.

1020738765072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020738765072 is an abundant number, since it is smaller than the sum of its proper divisors (1833279260528).

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

1020738765072 is a wasteful number, since it uses less digits than its factorization.

1020738765072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8220320 (or 8220314 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 48.

The spelling of 1020738765072 in words is "one trillion, twenty billion, seven hundred thirty-eight million, seven hundred sixty-five thousand, seventy-two".