26200497684480 has 1024 divisors, whose sum is σ = 98895347435520. Its totient is φ = 5797979357184.

The previous prime is 26200497684469. The next prime is 26200497684503. The reversal of 26200497684480 is 8448679400262.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-3 number, since 3×26200497684480³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35263118989 + ... + 35263119731.

It is an arithmetic number, because the mean of its divisors is an integer number (96577487730).

Almost surely, 2^{26200497684480} is an apocalyptic number.

26200497684480 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 26200497684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49447673717760).

26200497684480 is an abundant number, since it is smaller than the sum of its proper divisors (72694849751040).

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

26200497684480 is an equidigital number, since it uses as much as digits as its factorization.

26200497684480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 60.

The spelling of 26200497684480 in words is "twenty-six trillion, two hundred billion, four hundred ninety-seven million, six hundred eighty-four thousand, four hundred eighty".