276149999411055 has 768 divisors, whose sum is σ = 687318089472000. Its totient is φ = 103536108748800.

The previous prime is 276149999411017. The next prime is 276149999411093. The reversal of 276149999411055 is 550114999941672.

276149999411055 is a `hidden beast` number, since 2 + 7 + 6 + 1 + 499 + 99 + 41 + 1 + 0 + 5 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (276149999411017) and next prime (276149999411093).

It is not a de Polignac number, because 276149999411055 - 2¹⁴ = 276149999394671 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 4986339465 + ... + 4986394845.

It is an arithmetic number, because the mean of its divisors is an integer number (894945429000).

Almost surely, 2^{276149999411055} is an apocalyptic number.

276149999411055 is an abundant number, since it is smaller than the sum of its proper divisors (411168090060945).

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

276149999411055 is a wasteful number, since it uses less digits than its factorization.

276149999411055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55605 (or 55592 counting only the distinct ones).

The product of its (nonzero) digits is 220449600, while the sum is 72.

The spelling of 276149999411055 in words is "two hundred seventy-six trillion, one hundred forty-nine billion, nine hundred ninety-nine million, four hundred eleven thousand, fifty-five".