273960807120 has 1920 divisors, whose sum is σ = 1347393761280. Its totient is φ = 50199367680.

The previous prime is 273960807119. The next prime is 273960807163. The reversal of 273960807120 is 21708069372.

273960807120 is a `hidden beast` number, since 2 + 7 + 39 + 608 + 0 + 7 + 1 + 2 + 0 = 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 383 ways as a sum of consecutive naturals, for example, 348107367 + ... + 348108153.

It is an arithmetic number, because the mean of its divisors is an integer number (701767584).

Almost surely, 2^273960807120 is an apocalyptic number.

273960807120 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 273960807120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673696880640).

273960807120 is an abundant number, since it is smaller than the sum of its proper divisors (1073432954160).

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

273960807120 is a wasteful number, since it uses less digits than its factorization.

273960807120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 273960807120 in words is "two hundred seventy-three billion, nine hundred sixty million, eight hundred seven thousand, one hundred twenty".