26671774632048 has 480 divisors, whose sum is σ = 93060593074176. Its totient is φ = 6943491735552.

The previous prime is 26671774632037. The next prime is 26671774632053. The reversal of 26671774632048 is 84023647717662.

26671774632048 is a `hidden beast` number, since 2 + 6 + 67 + 1 + 77 + 463 + 2 + 0 + 48 = 666.

It is a super-2 number, since 2×26671774632048² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 486799311 + ... + 486854097.

Almost surely, 2^{26671774632048} is an apocalyptic number.

26671774632048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26671774632048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46530296537088).

26671774632048 is an abundant number, since it is smaller than the sum of its proper divisors (66388818442128).

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

26671774632048 is a wasteful number, since it uses less digits than its factorization.

26671774632048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55301 (or 55292 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 63.

The spelling of 26671774632048 in words is "twenty-six trillion, six hundred seventy-one billion, seven hundred seventy-four million, six hundred thirty-two thousand, forty-eight".