26493009002496 has 285 divisors, whose sum is σ = 79222726348689. Its totient is φ = 8823096999936.

The previous prime is 26493009002477. The next prime is 26493009002633. The reversal of 26493009002496 is 69420090039462.

The square root of 26493009002496 is 5147136.

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

26493009002496 is a `hidden beast` number, since 2 + 6 + 4 + 9 + 300 + 90 + 0 + 249 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1172629094400 + 25320379908096 = 1082880^2 + 5031936^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 23718002130 + ... + 23718003246.

Almost surely, 2^{26493009002496} is an apocalyptic number.

26493009002496 is the 5147136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26493009002496

26493009002496 is an abundant number, since it is smaller than the sum of its proper divisors (52729717346193).

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

26493009002496 is an frugal number, since it uses more digits than its factorization.

26493009002496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 26493009002496 in words is "twenty-six trillion, four hundred ninety-three billion, nine million, two thousand, four hundred ninety-six".