1071919280544 has 96 divisors (see below), whose sum is σ = 3263754364416. Its totient is φ = 301691554560.

The previous prime is 1071919280543. The next prime is 1071919280569. The reversal of 1071919280544 is 4450829191701.

1071919280544 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 tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1071919280544² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1071919280543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11858842 + ... + 11948889.

It is an arithmetic number, because the mean of its divisors is an integer number (33997441296).

Almost surely, 2^{1071919280544} is an apocalyptic number.

1071919280544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1071919280544 is an abundant number, since it is smaller than the sum of its proper divisors (2191835083872).

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

1071919280544 is a wasteful number, since it uses less digits than its factorization.

1071919280544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23807818 (or 23807810 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The spelling of 1071919280544 in words is "one trillion, seventy-one billion, nine hundred nineteen million, two hundred eighty thousand, five hundred forty-four".