26148681377280 has 2400 divisors, whose sum is σ = 122701600023552. Its totient is φ = 5257521561600.

The previous prime is 26148681377257. The next prime is 26148681377317. The reversal of 26148681377280 is 8277318684162.

It is a happy number.

26148681377280 is a `hidden beast` number, since 2 + 6 + 1 + 486 + 8 + 1 + 3 + 7 + 72 + 80 = 666.

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 239 ways as a sum of consecutive naturals, for example, 3464774467 + ... + 3464782013.

Almost surely, 2^{26148681377280} is an apocalyptic number.

26148681377280 is a gapful number since it is divisible by the number (20) 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 26148681377280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61350800011776).

26148681377280 is an abundant number, since it is smaller than the sum of its proper divisors (96552918646272).

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

26148681377280 is a wasteful number, since it uses less digits than its factorization.

26148681377280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7638 (or 7606 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 26148681377280 in words is "twenty-six trillion, one hundred forty-eight billion, six hundred eighty-one million, three hundred seventy-seven thousand, two hundred eighty".