27435499014464 has 56 divisors (see below), whose sum is σ = 54647677420200. Its totient is φ = 13666011054080.

The previous prime is 27435499014457. The next prime is 27435499014491. The reversal of 27435499014464 is 46441099453472.

It can be written as a sum of positive squares in 4 ways, for example, as 2064049422400 + 25371449592064 = 1436680^2 + 5037008^2 .

It is a hoax number, since the sum of its digits (62) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 27435499014397 and 27435499014406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 456004544 + ... + 456064704.

Almost surely, 2^{27435499014464} is an apocalyptic number.

It is an amenable number.

27435499014464 is a deficient number, since it is larger than the sum of its proper divisors (27212178405736).

27435499014464 is a wasteful number, since it uses less digits than its factorization.

27435499014464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86931 (or 86921 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 62.

The spelling of 27435499014464 in words is "twenty-seven trillion, four hundred thirty-five billion, four hundred ninety-nine million, fourteen thousand, four hundred sixty-four".