26148753469440 has 832 divisors, whose sum is σ = 107588378726400. Its totient is φ = 5901132496896.

The previous prime is 26148753469439. The next prime is 26148753469441. The reversal of 26148753469440 is 4496435784162.

26148753469440 is a `hidden beast` number, since 2 + 6 + 1 + 4 + 8 + 7 + 534 + 6 + 94 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26148753469439) and next prime (26148753469441).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26148753469441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 305744124 + ... + 305829636.

It is an arithmetic number, because the mean of its divisors is an integer number (129312955200).

It is a 1-persistent number, because it is pandigital, but 2⋅26148753469440 = 52297506938880 is not.

Almost surely, 2^{26148753469440} is an apocalyptic number.

26148753469440 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 26148753469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53794189363200).

26148753469440 is an abundant number, since it is smaller than the sum of its proper divisors (81439625256960).

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

26148753469440 is an equidigital number, since it uses as much as digits as its factorization.

26148753469440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85637 (or 85609 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 26148753469440 in words is "twenty-six trillion, one hundred forty-eight billion, seven hundred fifty-three million, four hundred sixty-nine thousand, four hundred forty".