26630655744000 has 1152 divisors, whose sum is σ = 111308405644800. Its totient is φ = 5533507584000.

The previous prime is 26630655743981. The next prime is 26630655744059. The reversal of 26630655744000 is 44755603662.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 650475531 + ... + 650516469.

It is an arithmetic number, because the mean of its divisors is an integer number (96621879900).

Almost surely, 2^{26630655744000} is an apocalyptic number.

26630655744000 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 26630655744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55654202822400).

26630655744000 is an abundant number, since it is smaller than the sum of its proper divisors (84677749900800).

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

26630655744000 is a wasteful number, since it uses less digits than its factorization.

26630655744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41008 (or 40967 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 48.

The spelling of 26630655744000 in words is "twenty-six trillion, six hundred thirty billion, six hundred fifty-five million, seven hundred forty-four thousand".