273876906000 has 320 divisors, whose sum is σ = 930763641600. Its totient is φ = 69092352000.

The previous prime is 273876905909. The next prime is 273876906001. The reversal of 273876906000 is 609678372.

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

It is not an unprimeable number, because it can be changed into a prime (273876906001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115024810 + ... + 115027190.

It is an arithmetic number, because the mean of its divisors is an integer number (2908636380).

Almost surely, 2^273876906000 is an apocalyptic number.

273876906000 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 273876906000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465381820800).

273876906000 is an abundant number, since it is smaller than the sum of its proper divisors (656886735600).

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

273876906000 is a wasteful number, since it uses less digits than its factorization.

273876906000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3435 (or 3419 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 273876906000 in words is "two hundred seventy-three billion, eight hundred seventy-six million, nine hundred six thousand".