1072909817280 has 896 divisors, whose sum is σ = 4433303808000. Its totient is φ = 244164243456.

The previous prime is 1072909817251. The next prime is 1072909817293. The reversal of 1072909817280 is 827189092701.

1072909817280 is a `hidden beast` number, since 107 + 290 + 9 + 8 + 172 + 80 = 666.

1072909817280 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1072909817280² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 820894387 + ... + 820895693.

Almost surely, 2^{1072909817280} is an apocalyptic number.

1072909817280 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 1072909817280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2216651904000).

1072909817280 is an abundant number, since it is smaller than the sum of its proper divisors (3360393990720).

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

1072909817280 is a wasteful number, since it uses less digits than its factorization.

1072909817280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 1072909817280 in words is "one trillion, seventy-two billion, nine hundred nine million, eight hundred seventeen thousand, two hundred eighty".