273964965120 has 2304 divisors, whose sum is σ = 1297527275520. Its totient is φ = 53747712000.

The previous prime is 273964964983. The next prime is 273964965139. The reversal of 273964965120 is 21569469372.

273964965120 is a `hidden beast` number, since 2 + 7 + 39 + 6 + 4 + 96 + 512 + 0 = 666.

273964965120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×273964965120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6682072300 + ... + 6682072340.

It is an arithmetic number, because the mean of its divisors is an integer number (563162880).

Almost surely, 2^273964965120 is an apocalyptic number.

273964965120 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 273964965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648763637760).

273964965120 is an abundant number, since it is smaller than the sum of its proper divisors (1023562310400).

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

273964965120 is an equidigital number, since it uses as much as digits as its factorization.

273964965120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 273964965120 in words is "two hundred seventy-three billion, nine hundred sixty-four million, nine hundred sixty-five thousand, one hundred twenty".