270248461560 has 1920 divisors, whose sum is σ = 1234706457600. Its totient is φ = 51732172800.

The previous prime is 270248461547. The next prime is 270248461577. The reversal of 270248461560 is 65164842072.

270248461560 is a `hidden beast` number, since 2 + 7 + 0 + 2 + 4 + 84 + 6 + 1 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3702033684 + ... + 3702033756.

It is an arithmetic number, because the mean of its divisors is an integer number (643076280).

Almost surely, 2^270248461560 is an apocalyptic number.

270248461560 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 270248461560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617353228800).

270248461560 is an abundant number, since it is smaller than the sum of its proper divisors (964457996040).

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

270248461560 is a wasteful number, since it uses less digits than its factorization.

270248461560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 270248461560 in words is "two hundred seventy billion, two hundred forty-eight million, four hundred sixty-one thousand, five hundred sixty".