270102719040 has 896 divisors, whose sum is σ = 1130356408320. Its totient is φ = 52979097600.

The previous prime is 270102719021. The next prime is 270102719053. The reversal of 270102719040 is 40917201072.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 270102718992 and 270102719010.

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 127 ways as a sum of consecutive naturals, for example, 134311635 + ... + 134313645.

Almost surely, 2^270102719040 is an apocalyptic number.

270102719040 is a gapful number since it is divisible by the number (20) 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 270102719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565178204160).

270102719040 is an abundant number, since it is smaller than the sum of its proper divisors (860253689280).

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

270102719040 is a wasteful number, since it uses less digits than its factorization.

270102719040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The spelling of 270102719040 in words is "two hundred seventy billion, one hundred two million, seven hundred nineteen thousand, forty".