276513486480 has 640 divisors, whose sum is σ = 1189963837440. Its totient is φ = 57335869440.

The previous prime is 276513486413. The next prime is 276513486481. The reversal of 276513486480 is 84684315672.

It is a happy number.

276513486480 is a `hidden beast` number, since 2 + 7 + 6 + 51 + 34 + 86 + 480 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (276513486481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 93636684 + ... + 93639636.

It is an arithmetic number, because the mean of its divisors is an integer number (1859318496).

Almost surely, 2^276513486480 is an apocalyptic number.

276513486480 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 276513486480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594981918720).

276513486480 is an abundant number, since it is smaller than the sum of its proper divisors (913450350960).

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

276513486480 is a wasteful number, since it uses less digits than its factorization.

276513486480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3556 (or 3544 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 276513486480 in words is "two hundred seventy-six billion, five hundred thirteen million, four hundred eighty-six thousand, four hundred eighty".