26260654271040 has 672 divisors, whose sum is σ = 104046740628480. Its totient is φ = 5955065745408.

The previous prime is 26260654270967. The next prime is 26260654271057. The reversal of 26260654271040 is 4017245606262.

26260654271040 is a `hidden beast` number, since 2 + 6 + 2 + 60 + 6 + 542 + 7 + 1 + 0 + 40 = 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 (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1598619307 + ... + 1598635733.

Almost surely, 2^{26260654271040} is an apocalyptic number.

26260654271040 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 26260654271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52023370314240).

26260654271040 is an abundant number, since it is smaller than the sum of its proper divisors (77786086357440).

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

26260654271040 is a wasteful number, since it uses less digits than its factorization.

26260654271040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17079 (or 17066 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 26260654271040 in words is "twenty-six trillion, two hundred sixty billion, six hundred fifty-four million, two hundred seventy-one thousand, forty".