26632285746390 has 672 divisors, whose sum is σ = 79197358050720. Its totient is φ = 6426452680704.

The previous prime is 26632285746331. The next prime is 26632285746413. The reversal of 26632285746390 is 9364758223662.

26632285746390 is a `hidden beast` number, since 2 + 6 + 6 + 3 + 2 + 2 + 85 + 7 + 463 + 90 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 11299229092 + ... + 11299231448.

It is an arithmetic number, because the mean of its divisors is an integer number (117853211385).

Almost surely, 2^{26632285746390} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26632285746390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39598679025360).

26632285746390 is an abundant number, since it is smaller than the sum of its proper divisors (52565072304330).

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

26632285746390 is a wasteful number, since it uses less digits than its factorization.

26632285746390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2556 (or 2512 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 26632285746390 in words is "twenty-six trillion, six hundred thirty-two billion, two hundred eighty-five million, seven hundred forty-six thousand, three hundred ninety".