273801619872 has 480 divisors, whose sum is σ = 912857299200. Its totient is φ = 79746508800.

The previous prime is 273801619837. The next prime is 273801619969. The reversal of 273801619872 is 278916108372.

It is a happy number.

273801619872 is a `hidden beast` number, since 2 + 7 + 380 + 1 + 6 + 198 + 72 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 222421497 + ... + 222422727.

It is an arithmetic number, because the mean of its divisors is an integer number (1901786040).

Almost surely, 2^273801619872 is an apocalyptic number.

273801619872 is a gapful number since it is divisible by the number (22) 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 273801619872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456428649600).

273801619872 is an abundant number, since it is smaller than the sum of its proper divisors (639055679328).

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

273801619872 is a wasteful number, since it uses less digits than its factorization.

273801619872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 273801619872 in words is "two hundred seventy-three billion, eight hundred one million, six hundred nineteen thousand, eight hundred seventy-two".