26601155321040 has 120 divisors (see below), whose sum is σ = 93219700878720. Its totient is φ = 6785222222592.

The previous prime is 26601155321033. The next prime is 26601155321053. The reversal of 26601155321040 is 4012355110662.

26601155321040 is a `hidden beast` number, since 2 + 6 + 6 + 0 + 1 + 15 + 532 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×26601155321040³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26601155320986 and 26601155321004.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 803158420 + ... + 803191539.

It is an arithmetic number, because the mean of its divisors is an integer number (776830840656).

Almost surely, 2^{26601155321040} is an apocalyptic number.

26601155321040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26601155321040 is an abundant number, since it is smaller than the sum of its proper divisors (66618545557680).

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

26601155321040 is a wasteful number, since it uses less digits than its factorization.

26601155321040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606350001 (or 1606349992 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 26601155321040 in words is "twenty-six trillion, six hundred one billion, one hundred fifty-five million, three hundred twenty-one thousand, forty".