26501251265040 has 80 divisors (see below), whose sum is σ = 86477767300800. Its totient is φ = 6695052950016.

The previous prime is 26501251265003. The next prime is 26501251265101. The reversal of 26501251265040 is 4056215210562.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×26501251265040² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 26501251265040.

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 15 ways as a sum of consecutive naturals, for example, 2905834395 + ... + 2905843514.

It is an arithmetic number, because the mean of its divisors is an integer number (1080972091260).

Almost surely, 2^{26501251265040} is an apocalyptic number.

26501251265040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26501251265040 is an abundant number, since it is smaller than the sum of its proper divisors (59976516035760).

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

26501251265040 is a wasteful number, since it uses less digits than its factorization.

26501251265040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5811677944 (or 5811677938 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The spelling of 26501251265040 in words is "twenty-six trillion, five hundred one billion, two hundred fifty-one million, two hundred sixty-five thousand, forty".