26752963418160 has 640 divisors, whose sum is σ = 101089604136960. Its totient is φ = 5713334894592.

The previous prime is 26752963418107. The next prime is 26752963418239. The reversal of 26752963418160 is 6181436925762.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 26752963418094 and 26752963418103.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6676554877 + ... + 6676558883.

It is an arithmetic number, because the mean of its divisors is an integer number (157952506464).

It is a 1-persistent number, because it is pandigital, but 2⋅26752963418160 = 53505926836320 is not.

Almost surely, 2^{26752963418160} is an apocalyptic number.

26752963418160 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 26752963418160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50544802068480).

26752963418160 is an abundant number, since it is smaller than the sum of its proper divisors (74336640718800).

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

26752963418160 is a wasteful number, since it uses less digits than its factorization.

26752963418160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5693 (or 5687 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 26752963418160 in words is "twenty-six trillion, seven hundred fifty-two billion, nine hundred sixty-three million, four hundred eighteen thousand, one hundred sixty".