271770011040 has 96 divisors (see below), whose sum is σ = 933900601536. Its totient is φ = 65883637760.

The previous prime is 271770010931. The next prime is 271770011053. The reversal of 271770011040 is 40110077172.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 271770010989 and 271770011007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25730517 + ... + 25741076.

It is an arithmetic number, because the mean of its divisors is an integer number (9728131266).

Almost surely, 2^271770011040 is an apocalyptic number.

271770011040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

271770011040 is an abundant number, since it is smaller than the sum of its proper divisors (662130590496).

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

271770011040 is a wasteful number, since it uses less digits than its factorization.

271770011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51471622 (or 51471614 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 30.

The spelling of 271770011040 in words is "two hundred seventy-one billion, seven hundred seventy million, eleven thousand, forty".