26001251640000 has 3360 divisors, whose sum is σ = 121000395479040. Its totient is φ = 5356855296000.

The previous prime is 26001251639981. The next prime is 26001251640019. The reversal of 26001251640000 is 4615210062.

26001251640000 is a `hidden beast` number, since 2 + 6 + 0 + 0 + 1 + 251 + 6 + 400 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26001251639981) and next prime (26001251640019).

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 60049079784 + ... + 60049080216.

It is an arithmetic number, because the mean of its divisors is an integer number (36012022464).

Almost surely, 2^{26001251640000} is an apocalyptic number.

26001251640000 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 26001251640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60500197739520).

26001251640000 is an abundant number, since it is smaller than the sum of its proper divisors (94999143839040).

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

26001251640000 is a wasteful number, since it uses less digits than its factorization.

26001251640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 26001251640000 its reverse (4615210062), we get a palindrome (26005866850062).

The spelling of 26001251640000 in words is "twenty-six trillion, one billion, two hundred fifty-one million, six hundred forty thousand".