270094978560 has 320 divisors, whose sum is σ = 952566531840. Its totient is φ = 64740065280.

The previous prime is 270094978529. The next prime is 270094978613. The reversal of 270094978560 is 65879490072.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 270094978560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7500759 + ... + 7536681.

It is an arithmetic number, because the mean of its divisors is an integer number (2976770412).

Almost surely, 2^270094978560 is an apocalyptic number.

270094978560 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 270094978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476283265920).

270094978560 is an abundant number, since it is smaller than the sum of its proper divisors (682471553280).

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

270094978560 is a wasteful number, since it uses less digits than its factorization.

270094978560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36049 (or 36033 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 270094978560 in words is "two hundred seventy billion, ninety-four million, nine hundred seventy-eight thousand, five hundred sixty".