1071090617472 has 48 divisors (see below), whose sum is σ = 3082174827030. Its totient is φ = 357030205440.

The previous prime is 1071090617447. The next prime is 1071090617477. The reversal of 1071090617472 is 2747160901701.

1071090617472 is a `hidden beast` number, since 10 + 7 + 10 + 9 + 0 + 617 + 4 + 7 + 2 = 666.

1071090617472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 949969912896 + 121120704576 = 974664^2 + 348024^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1071090617472² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1071090617477) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 464881929 + ... + 464884232.

Almost surely, 2^{1071090617472} is an apocalyptic number.

1071090617472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1071090617472 is an abundant number, since it is smaller than the sum of its proper divisors (2011084209558).

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

1071090617472 is an equidigital number, since it uses as much as digits as its factorization.

1071090617472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929766181 (or 929766166 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 1071090617472 in words is "one trillion, seventy-one billion, ninety million, six hundred seventeen thousand, four hundred seventy-two".