27961770886480 has 40 divisors (see below), whose sum is σ = 68432755068000. Its totient is φ = 10596039493248.

The previous prime is 27961770886421. The next prime is 27961770886487. The reversal of 27961770886480 is 8468807716972.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×27961770886480² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27961770886487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9197949430 + ... + 9197952469.

It is an arithmetic number, because the mean of its divisors is an integer number (1710818876700).

Almost surely, 2^{27961770886480} is an apocalyptic number.

27961770886480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27961770886480 is an abundant number, since it is smaller than the sum of its proper divisors (40470984181520).

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

27961770886480 is a wasteful number, since it uses less digits than its factorization.

27961770886480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18395901931 (or 18395901925 counting only the distinct ones).

The product of its (nonzero) digits is 455196672, while the sum is 73.

The spelling of 27961770886480 in words is "twenty-seven trillion, nine hundred sixty-one billion, seven hundred seventy million, eight hundred eighty-six thousand, four hundred eighty".