26361748740096 has 3072 divisors, whose sum is σ = 106516021248000. Its totient is φ = 6242697216000.

The previous prime is 26361748740083. The next prime is 26361748740101. The reversal of 26361748740096 is 69004784716362.

It is a happy number.

26361748740096 is a `hidden beast` number, since 2 + 6 + 3 + 61 + 7 + 4 + 87 + 400 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 271770605520 + ... + 271770605616.

It is an arithmetic number, because the mean of its divisors is an integer number (34673184000).

Almost surely, 2^{26361748740096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26361748740096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53258010624000).

26361748740096 is an abundant number, since it is smaller than the sum of its proper divisors (80154272507904).

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

26361748740096 is a wasteful number, since it uses less digits than its factorization.

26361748740096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 26361748740096 in words is "twenty-six trillion, three hundred sixty-one billion, seven hundred forty-eight million, seven hundred forty thousand, ninety-six".