26661519360000 has 2850 divisors, whose sum is σ = 118612276014078. Its totient is φ = 5945425920000.

The previous prime is 26661519359957. The next prime is 26661519360011. The reversal of 26661519360000 is 6391516662.

It can be written as a sum of positive squares in 5 ways, for example, as 17855154487296 + 8806364872704 = 4225536^2 + 2967552^2 .

It is a super-2 number, since 2×26661519360000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 650280959980 + ... + 650280960020.

Almost surely, 2^{26661519360000} is an apocalyptic number.

26661519360000 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 26661519360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59306138007039).

26661519360000 is an abundant number, since it is smaller than the sum of its proper divisors (91950756654078).

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

26661519360000 is an frugal number, since it uses more digits than its factorization.

26661519360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 26661519360000 in words is "twenty-six trillion, six hundred sixty-one billion, five hundred nineteen million, three hundred sixty thousand".