26399381760 has 576 divisors, whose sum is σ = 99226552320. Its totient is φ = 6635520000.

The previous prime is 26399381759. The next prime is 26399381797. The reversal of 26399381760 is 6718399362.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 26399381697 and 26399381706.

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, 43925460 + ... + 43926060.

It is an arithmetic number, because the mean of its divisors is an integer number (172268320).

Almost surely, 2^26399381760 is an apocalyptic number.

26399381760 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 26399381760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49613276160).

26399381760 is an abundant number, since it is smaller than the sum of its proper divisors (72827170560).

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

26399381760 is a wasteful number, since it uses less digits than its factorization.

26399381760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 26399381760 in words is "twenty-six billion, three hundred ninety-nine million, three hundred eighty-one thousand, seven hundred sixty".