1016767313280 has 1280 divisors, whose sum is σ = 3945490560000. Its totient is φ = 248744411136.

The previous prime is 1016767313267. The next prime is 1016767313323. The reversal of 1016767313280 is 823137676101.

1016767313280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5680264231 + ... + 5680264409.

It is an arithmetic number, because the mean of its divisors is an integer number (3082414500).

Almost surely, 2^{1016767313280} is an apocalyptic number.

1016767313280 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 1016767313280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1972745280000).

1016767313280 is an abundant number, since it is smaller than the sum of its proper divisors (2928723246720).

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

1016767313280 is a wasteful number, since it uses less digits than its factorization.

1016767313280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 1016767313280 in words is "one trillion, sixteen billion, seven hundred sixty-seven million, three hundred thirteen thousand, two hundred eighty".