26101321236540 has 576 divisors, whose sum is σ = 88422699036672. Its totient is φ = 6178570444800.

The previous prime is 26101321236533. The next prime is 26101321236647. The reversal of 26101321236540 is 4563212310162.

26101321236540 is a `hidden beast` number, since 2 + 6 + 101 + 3 + 2 + 1 + 2 + 3 + 6 + 540 = 666.

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 = 26101321236495 and 26101321236504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37773257595 + ... + 37773258285.

It is an arithmetic number, because the mean of its divisors is an integer number (153511630272).

Almost surely, 2^{26101321236540} is an apocalyptic number.

26101321236540 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 26101321236540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44211349518336).

26101321236540 is an abundant number, since it is smaller than the sum of its proper divisors (62321377800132).

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

26101321236540 is a wasteful number, since it uses less digits than its factorization.

26101321236540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 26101321236540 in words is "twenty-six trillion, one hundred one billion, three hundred twenty-one million, two hundred thirty-six thousand, five hundred forty".