26625983952960 has 672 divisors, whose sum is σ = 108077037778944. Its totient is φ = 5887696896000.

The previous prime is 26625983952959. The next prime is 26625983952973. The reversal of 26625983952960 is 6925938952662.

26625983952960 is a `hidden beast` number, since 2 + 6 + 6 + 2 + 5 + 9 + 8 + 39 + 529 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 2850437890 + ... + 2850447230.

Almost surely, 2^{26625983952960} is an apocalyptic number.

26625983952960 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 26625983952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54038518889472).

26625983952960 is an abundant number, since it is smaller than the sum of its proper divisors (81451053825984).

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

26625983952960 is a wasteful number, since it uses less digits than its factorization.

26625983952960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13963 (or 13950 counting only the distinct ones).

The product of its (nonzero) digits is 755827200, while the sum is 72.

The spelling of 26625983952960 in words is "twenty-six trillion, six hundred twenty-five billion, nine hundred eighty-three million, nine hundred fifty-two thousand, nine hundred sixty".