273902200960080 has 960 divisors, whose sum is σ = 1112547295272960. Its totient is φ = 55065385267200.

The previous prime is 273902200960067. The next prime is 273902200960109. The reversal of 273902200960080 is 80069002209372.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29911778862 + ... + 29911788018.

It is an arithmetic number, because the mean of its divisors is an integer number (1158903432576).

Almost surely, 2^{273902200960080} is an apocalyptic number.

273902200960080 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 273902200960080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556273647636480).

273902200960080 is an abundant number, since it is smaller than the sum of its proper divisors (838645094312880).

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

273902200960080 is a wasteful number, since it uses less digits than its factorization.

273902200960080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16688 (or 16675 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 273902200960080 in words is "two hundred seventy-three trillion, nine hundred two billion, two hundred million, nine hundred sixty thousand, eighty".