2627433516096 has 315 divisors, whose sum is σ = 7974423387799. Its totient is φ = 855387378432.

The previous prime is 2627433516079. The next prime is 2627433516101. The reversal of 2627433516096 is 6906153347262.

The square root of 2627433516096 is 1620936.

It is a perfect power (a square), and thus also a powerful number.

2627433516096 is a `hidden beast` number, since 2 + 6 + 2 + 7 + 4 + 33 + 516 + 0 + 96 = 666.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5485247185 + ... + 5485247663.

Almost surely, 2^{2627433516096} is an apocalyptic number.

2627433516096 is the 1620936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2627433516096

2627433516096 is an abundant number, since it is smaller than the sum of its proper divisors (5346989871703).

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

2627433516096 is an frugal number, since it uses more digits than its factorization.

2627433516096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

It can be divided in two parts, 2627433 and 516096, that added together give a square (3143529 = 1773²).

The spelling of 2627433516096 in words is "two trillion, six hundred twenty-seven billion, four hundred thirty-three million, five hundred sixteen thousand, ninety-six".