26138433355776 has 765 divisors, whose sum is σ = 91129194026409. Its totient is φ = 7444565065728.

The previous prime is 26138433355747. The next prime is 26138433355807. The reversal of 26138433355776 is 67755333483162.

The square root of 26138433355776 is 5112576.

It is a perfect power (a square), and thus also a powerful number.

26138433355776 is a `hidden beast` number, since 2 + 6 + 1 + 3 + 8 + 4 + 3 + 3 + 3 + 557 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1463132160000 + 24675301195776 = 1209600^2 + 4967424^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 82455625570 + ... + 82455625886.

Almost surely, 2^{26138433355776} is an apocalyptic number.

26138433355776 is the 5112576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26138433355776

26138433355776 is an abundant number, since it is smaller than the sum of its proper divisors (64990760670633).

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

26138433355776 is an frugal number, since it uses more digits than its factorization.

26138433355776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 329 counting only the distinct ones).

The product of its digits is 228614400, while the sum is 63.

The spelling of 26138433355776 in words is "twenty-six trillion, one hundred thirty-eight billion, four hundred thirty-three million, three hundred fifty-five thousand, seven hundred seventy-six".