27815130649776 has 160 divisors (see below), whose sum is σ = 76187375124480. Its totient is φ = 8726082216192.

The previous prime is 27815130649763. The next prime is 27815130649793. The reversal of 27815130649776 is 67794603151872.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63616515 + ... + 64052253.

It is an arithmetic number, because the mean of its divisors is an integer number (476171094528).

It is a 1-persistent number, because it is pandigital, but 2⋅27815130649776 = 55630261299552 is not.

Almost surely, 2^{27815130649776} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27815130649776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38093687562240).

27815130649776 is an abundant number, since it is smaller than the sum of its proper divisors (48372244474704).

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

27815130649776 is a wasteful number, since it uses less digits than its factorization.

27815130649776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436703 (or 436697 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 66.

The spelling of 27815130649776 in words is "twenty-seven trillion, eight hundred fifteen billion, one hundred thirty million, six hundred forty-nine thousand, seven hundred seventy-six".