276800135040 has 1536 divisors, whose sum is σ = 1235025792000. Its totient is φ = 56056872960.

The previous prime is 276800134997. The next prime is 276800135041. The reversal of 276800135040 is 40531008672.

276800135040 is a `hidden beast` number, since 2 + 76 + 80 + 0 + 1 + 3 + 504 + 0 = 666.

It is a super-3 number, since 3×276800135040³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 276800134986 and 276800135004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (276800135041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 359947776 + ... + 359948544.

It is an arithmetic number, because the mean of its divisors is an integer number (804053250).

Almost surely, 2^276800135040 is an apocalyptic number.

276800135040 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 276800135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617512896000).

276800135040 is an abundant number, since it is smaller than the sum of its proper divisors (958225656960).

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

276800135040 is a wasteful number, since it uses less digits than its factorization.

276800135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 276800135040 in words is "two hundred seventy-six billion, eight hundred million, one hundred thirty-five thousand, forty".