270968453038080 has 3072 divisors, whose sum is σ = 1189637792179200. Its totient is φ = 57789539942400.

The previous prime is 270968453038039. The next prime is 270968453038123. The reversal of 270968453038080 is 80830354869072.

270968453038080 is a `hidden beast` number, since 2 + 7 + 0 + 9 + 68 + 4 + 530 + 38 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 270968453037999 and 270968453038017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 386545581730 + ... + 386545582430.

It is an arithmetic number, because the mean of its divisors is an integer number (387251885475).

Almost surely, 2^{270968453038080} is an apocalyptic number.

270968453038080 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 270968453038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594818896089600).

270968453038080 is an abundant number, since it is smaller than the sum of its proper divisors (918669339141120).

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

270968453038080 is an frugal number, since it uses more digits than its factorization.

270968453038080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 270968453038080 in words is "two hundred seventy trillion, nine hundred sixty-eight billion, four hundred fifty-three million, thirty-eight thousand, eighty".